Parallel 1 y = X 3 y = 6x + 5 O parallel perpendicular neither The slope of the blue line. Parallel Objective: To determine whether lines are parallel, perpendicular, or neither. 3.5 Equations of Parallel and Perpendicular Lines 1. y + 3 = 6x-6x + y = 4 2. This online calculator checks lines' slopes to see if they are parallel or perpendicular. 5y = -x - 20. (4, 2) and (4, -3) Preview TID State all 2-values that are excluded from the solution set of the rational … Mausmi Jedhav . This calculator find and plot equations of parallel and perpendicular to the given line and passes through given point. For lines to be perpendicular it is needed that. Solved Determine whether the pair of lines are | Chegg.com Solver Example. The calculator will find the equation of the parallel/perpendicular line to the given line, passing through the given point, with steps shown. To … equation Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Induction Logical Sets. Determine whether the lines given by the equations below are parallel, perpendicular, or neither. Problem. Slope of perpendicular lines, on the other hand, are negative reciprocals of each other meaning the lines cross each other at right angle. m1 = 3 2,m2 = −2 3 m 1 = 3 2, m 2 = - 2 3. I CAN use slope to prove that lines are parallel or perpendicular. Parallel, Perpendicular or Neither Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Point-slope form: y-y1=m (x-x1) can write this using the slope and one point on the line. Slope=rise/run= (y2-y1) (x2-x1) Slope=rise/run= (y2-y1) (x2-x1) 2. Neither parallel nor perpendicular. m 2 = 2 − ( − 2) 3 − ( − 1) = 4 4 = 1. No teams 1 team 2 teams 3 teams 4 teams 5 teams 6 teams 7 teams 8 teams 9 teams 10 teams Custom. x + 5y = -20. This page contains answers to puzzle 47d. Here's how to determine if two equations are parallel or perpendicular. The given lines are written in y = mx + b form, with m = −8 for the first line and m = for the second line.. Identify the slopes of the given lines. Ch. c) 4x - 7y = 10 , has slope 4/7. The slope of the line with the equation 2y+x−4=0 is _____. Equation Y-intercept Slope Parallel Equation Perpendicular Equation Practice #2 Create an equation for a perpendicular line that passes through the given point on the graph. −8 ≠ , so the lines are not parallel.. Example – Find the slope of a line perpendicular to the line whose equation is 3x – 7y = 6. 6. If they are equal, then the lines are perpendicular. (If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.) Say whether the planes are parallel, perpendicular, or neither. Put both of your equations into slope intercept form. 4 x + 5 y = 5. neither. By using this … Solve your math problems using our free math solver with step-by-step solutions. Entering data into the vectors orthogonality calculator. Example 3: Find the equation of the line passing through (6, −1) and parallel to y = 1 2 x + 2. Example: 4/3x+3 and -3/4x-7 would be perpendicular. Also, find a rigorous algebraic solution for each problem. Remember that the m in y = mx + b is our slope. In simple terms, the slope of two parallel lines is equal. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. If then the lines are parallel. Steps for Solving Linear Equation. Neither parallel nor perpendicular. The calculator will find the equation of the parallel/perpendicular line to the given line passing through the given point, with steps shown. Neither Explanation: For lines to be parallel, the slope has to be the same. If lines are parallel, they have the same slopes. 7x + 4y = 1 has slope -7/4. Parallel Lines in greater depth. Section 3.5 Equations of Parallel and Perpendicular Lines 155 Equations of Parallel and Perpendicular Lines 3.5 Writing Equations of Parallel and Perpendicular Lines Work with a partner. ... Easy to use calculator to find slope and equation of a line through two points. If neither of these conditions are met, then the vectors are neither parallel nor perpendicular to one another. Learn how to identify parallel and perpendicular lines. Parallel lines have slopes that are _____. Let's see how to identify parallel and perpendicular lines. Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or neither. Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation History. 3y + 21 = 2x 2y = 10 - 3x 3. y = -x + 8 Determine whether the lines y = − 8x + 5 and are parallel, perpendicular, or neither.. Given the equations of two lines, state whether they are parallel, perpendicular or neither: a. y = 2 x + 5 and 2 y − 4 x = 12 b. x = 2 1 y = - 4 Clear All Draw: parallel perpendicular neither 0 0 0 Find the equation of the line using the given information. Write the equation in slope intercept form. I CAN solve geometric problems using slope of parallel and perpendicular lines. The two slopes we found in the previous step are clearly not the same and so the two lines are not parallel. Sponsored Links. For example, 2/3 and -3/2 would be a perpendicular line. Written Assignment 2 – 1. CCSS.Math: 4.G.A.1. Parallel and Perpendicular 4 September 29, 2014 Determine if the given equations are parallel, perpendicular, or neither: 9. and 10. and 11. and Find the equation of a line that is parallel to x + 7y = 4 and passes through the point (7,9) 2. For the second equation to be perpendicular to the first, the slope of the second equation would need to be 3/2. Q. Linear equations, which are graphed as straight lines, can have associated parallel lines which never touch, and perpendicular lines that intersect at 90 degrees. y = -2/3x + 6 and y = -2/3x +2. Hence the two lines are neither parallel nor perpendicular. Parallel Lines and Perpendicular LinesFind the equation of a line that is parallel to x + 7y = 4 and passes through the point (7,9)Find the equation of a line that is perpendicular to y = -9x + 5 and passes through the point (3,9)Find the slope-intercept form of the equation of a line that is parallel to the graphed line and that passes through the point plotted on the graph. 1 3 +n 1 3 Parallel and perpendicular lines can be drawn by changing the slope of the linear equation and the y intercept. Learn whether lines are parallel, perpendicular or neither by rearranging the equation into slope intercept form and analyzing the slope. 5 у y Determine whether lines with the given slopes are parallel , perpendicular , or neither 20 13. (c) If the slopes are not the same, and one is not the negative reciprocal of the other, then the lines intersect and are neither parallel or perpendicular. Convert the angle in degrees to radians. Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c. Determine whether the lines given by the equations below are parallel, perpendicular, or neither. Hence the two lines are neither parallel nor perpendicular. 0.5 and -2 14 . 12. In this tutorial, we learn how to determine if lines are parallel or perpendicular. The correct response is that the lines are neither parallel nor perpendicular. View question - is this problem perpendicular parallel or neither 10x+5y=-5 and y=-2x+6 Register For problems 4 & 5 determine if the two planes are parallel, orthogonal or neither. Popular Pages. Parallel and Perpendicular Line Calculator – eMathHelp. Determine whether the graphs of each of equations parallel, ... the graph of each equation and passes through the given point. Become a master crossword solver while having tons of fun, and all for free! Given the equations of two lines, state whether they are parallel, perpendicular or neither: a. y = 2 x + 5 and 2 y − 4 x = 12 b. Horizontal and vertical lines are perpendicular to each other i.e. Graphing lines calculator Distance and midpoint calculator Triangle area, altitudes, medians, centroid, circumcenter, orthocenter Intersection of two lines calculator Equation of a line passing through the two given points Distance between a line and a point Equations of a Parallel and Perpendicular Line How to determine if the equations are parallel, Perpendicular or neither ? Therefore, the two lines are neither parallel nor perpendicular. Divide the numerator by …Perpendicular & Parallel Lines Calculator.Parallel lines have the same slope, to find the parallel line at a given point you …. EXTRA CREDIT: PAGE 242 #4. Proof: parallel lines have the same slope. Report an issue . Subtract 5y from both sides. Perpendicular lines have negative reciprocal slopes. Or if one of the slopes is zero and the other is undefined, then the lines are also perpendicular. Therefore, the parameter "t"in the equations forline l1is … The slope-intercept equation can define the line on a plane. 3 x − y = 8 and y = 5 x + 8 c. x + 3 y = 12 and y = 3 x − 2 2. You can put this solution on YOUR website! The lines represented by these equations are perpendicular. I Folded the title page "Parallel and Perpendicular Lines" over until it creased on the X-Axis of the the two coordinate planes with "Perpendicular Lines" under it. 2 Lines Intersection Calculator: -- Enter Line 1 Equation-- Enter Line 2 Equation (only if you are not pressing Slope) 4 x = 5 − 5 y. Divide both sides by 4. Parallel, Perpendicular or Neither Name _____ To decide if lines are parallel or perpendicular, first write the lines in _____ form, which is _____. In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`. Perpendicular Line Calculator is a free online tool that displays the equation of the perpendicular line. Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Parallel and Perpendicular Line Calculator – … The calculator will find the equation of the parallel /perpendicular line to the given line, passing through the given point, with steps shown. Solution for Are the lines with the following equations parallel, perpendicular, or neither? For lines to be perpendicular, the slope has to be the negative reciprocal. the slopes are the same so the lines are parallel. There are 9 calculators in this category . 2x + 4y = -16; x + 2y = 11 For drawing lines, use the graphing calculator.Show Instructions. Since the slopes are (different but not negative reciprocal or the same or negative reciprocal), the pair of lines are (parallel neither parallel nor perpendicular or perpendicular). Writing equations of perpendicular lines. Identify each surface (Problem #7a-h) Find the angle between two vectors and distance between two planes (Problems #8-9) Find orthogonal values and the volume of the parallelepiped (Problems #10-11) Find the equation of the plane, vector perpendicular to the plane, and area of the triangle (Problems #12-13) 4x+5y=5. 300 seconds . **NO … Let us start by checking whether they are parallel. Determine if the lines are parallel, perpendicular, or neither. The plane containing the point (−8,3,7) ( − 8, 3, 7) and parallel to the plane given by 4x +8y−2z = 45 4 x + 8 y − 2 z = 45. Parallel & Perpendicular Lines, and Slope. Also, we can see that \({m_1}{m_2} = - 56 \ne - 1\) and so the lines are also not perpendicular. Solving Equations Involving Parallel and Perpendicular Lines www.BeaconLC.org©2001 September 22, 2001 4 11. Also State why. the axes of the coordinate plane. parallel if they point in exactly the same or opposite directions, and never cross each other. 6x+5y 30 Choose the correct graph below O A. O B. OC O D. 10 10 10 10- Write an equation in the form y mx + b of the line that is described. Find the equation of the line that is: parallel to y = 2x + 1 ; and passes though the point (5,4) The slope of y=2x+1 is: 2. b) 3y +x = 12, has slope -1/3. and 4 5 → X X 30. Parallel lines: Considering two equations: y = 2x +3 and y = 2x+5 . Add your answer and earn points. Example: the slope of the first equation is -2/3 . 3푦 + = 12 4푥 3푦 푥 + = 12 − = 10 4푥 7푦 The calculator will find the equation of the parallel / perpendicular line at the data line, which passes the given point, with steps shown. If they are parallel, then it would be true that ( 8 ⃑ − 7 ⃑ + ⃑ ) = ( 6 4 ⃑ − 5 6 ⃑ + 8 ⃑ ) . Parallel lines have slopes that are _____. I.O: Students will know what it means for two lines to be parallel, perpendicular or neither by graphing three sets of linear equations. First, remember that parallel lines have equal slope, identical to each other. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane). Solution. Lines are perpendicular when their slopes are negative reciprocals of each other. **You can use Desmos (https://www.desmos.com/calculator) to graph… State whether the lines are parallel, perpendicular, or neither. Compare the slope of the perpendicular lines. Solution. parallel and perpendicular lines calculator. The lines represented by these equations are perpendicular. Determine whether the lines given by the equations below are parallel, perpendicular, or neither. If where , then the lines are perpendicular. Parallel and perpendicular lines on a plane; ... • Equation of a line passing through two points in 3d 3 x − y = 8 and y = 5 x + 8 c. x + 3 y = 12 and y = 3 x − 2 2. They are called parallel, and will not intersect. The word “parallel” refers to two equidistant (having the same distance) lines with the same steepness, whereas the word “perpendicular” refers to something that is positioned at a 90° angle from another thing. Parallel and Perpendicular lines. Determine if Lines are Parallel, Perpendicular or Neither - Example Problem Walk-Throughs Review of Parallel and Perpendicular, Example Problems and Practice Problems Practice Quiz - Parallel, Perpendicular, or Neither; Parallel and Perpendicular - Walk-through Examples; Identifying Parallel and Perpendicular Lines - Video; Parallel and Perpendicular Review - … A) The constants in the two equations are the same. *usmi Jachev (Q600 Is it possüb!e for two llünes with negative slopes to be perpendicular? Slope-intercept form: y=mx+b y-intercept is the b and m is slope (gradient) Slope-intercept form: y=mx+b y-intercept is the b and m is slope (gradient) 1. Divide both sides by 4. L1: r(t) = (-4 + 2t)i + (1 + t)j L2: r(s) = (4 + 3s)i + (3 - 6s); O perpendicular parallel neither If the lines are not parallel, find their point lines are parallel, enter PARALLEL.) We could graph the lines, but we can't be sure from a graph if the line sare exactly parallel or exactly perpendicular. The parallel line needs to have the same slope of 2. Two lines are parallel if and only if they have the same slope; this is not the case. A linear equation of y in terms of x can be expressed by the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Writing equations of perpendicular lines (example 2) Practice: Write equations of parallel & perpendicular lines. For drawing lines, use the graphing calculator . : To find the slope of an equation of a line, put the equation in slope intercept form: y=mx+b m=slope. We can solve it using the "point-slope" equation of a line: y − y 1 = 2(x − x 1) And then put in the point (5,4): y − 4 = 2(x − 5) Guide - Vectors orthogonality calculator. Click to enlarge graph Are the lines parallel, perpendicular, or neither parallel nor perpendicular? Let us start by checking whether they are parallel. Parallel & perpendicular lines intro. For lines to be perpendicular, the slope has to be the negative reciprocal. Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)? Example: 2x-1 and 2x+3 would be parallel. Parallel and perpendicular lines on a plane. Compare the decimal form of one slope with the negative reciprocal of the other slope. m1=m2 If lines are perpendicular, they have slopes that are negative reciprocals of each other. Show step by step work Find the equation of the line that contains the points: (5, -4) and (4, -1) Compare to the line given by: Parallel, Perpendicular or Neither Name _____ To decide if lines are parallel or perpendicular, first write the lines in _____ form, which is _____. Question 16 1 pts Identify the slope and y-intercept for y = -x – 9 The slope is 1 The y-intercept is (0, ). Articles that describe this calculator. Determine whether they intersect each other, or they are parallel, or neither (skew lines). To check the vectors orthogonality: Select the vectors dimension and the vectors form of representation; Type the coordinates of the vectors; Press the button "Check the vectors orthogonality" and you will have a detailed step-by-step solution. For lines to be perpendicular, the slope has to be the negative reciprocal. Example. Created by Sal Khan. Neither Explanation: For lines to be parallel, the slope has to be the same. 1. y = 3x + 4 y = 3x + 7 2. y = -4x + 1 4y = x + 3 3. y = 2x - 5 y = 5x - 5 4. y = -1/3x + 2 y = 3x - 5 5. y = 3/5x - 3 5y = 3x - 10 6. y = 4 4y = 6 7. y = 7x + 2 x + 7y = 8 8. y = 5/6x - 6 x + 5y = 4 For lines to be parallel it is needed that. 3 x − y + 2 z = 5 3x-y+2z=5 3 x − y + 2 z = 5. x + 4 y + 3 z = 1 x+4y+3z=1 x + 4 y + 3 z = 1. If the planes are neither parallel nor perpendicular, find the angle between the planes. On comparing y = 2x +3 and y = 2x+5 with y = mx + c. Both the lines have the same slope, m = 2, and we know that, Lines with the same slope are parallel. A) The constants in the two equations are the same. y = 8x+1 has slope 8. the slopes are different, not negative reciprocals, so the lines are neither parallel nor perpendicular; they will intersect at a unique point. The calculator will generate a step-by-step explanation on how to obtain the result. after factoring out any common factors, the remaining direction numbers will be equal. Transcribed image text: Graph the pair of equations on the same axes, and state whether they are parallel, perpendicular, or neither. A more accurate way to settle the question is to find the slope of each line. Parallel and Perpendicular Lines. Press F11. Solution. Perpendicular lines from equation. Find Slope and Intercepts of a Line - Calculator Calculator slope, x and y intercepts given the equation of a line. Then by inspection of the coefficient on in each equation determine the slope, , of the graph of each equation. Parallel and perpendicular calculator line. In the parcel fabric, parcel traverse and construction lines can be added using the Parallel to Line, Perpendicular to Line, and Deflection off Line COGO tools. Explanation: Let's take some examples to understand this. To write equations of parallel lines and perpendicular lines. No teams 1 team 2 teams 3 teams 4 teams 5 teams 6 teams 7 teams 8 teams 9 teams 10 teams Custom. Free parallel line calculator - find the equation of a parallel line step-by-step This website uses cookies to ensure you get the best experience. Writing equations of perpendicular lines. 4x - 3y + 2z = 5, x + 6y + 7z = 3 parallel perpendicular neither If neither, find the angle between them. Written Assignment 2 – 1. The intersection line between two planes passes throught the points (1,0,-2) and (1,-2,3) We also know that the point (2,4,-5)is located on the plane,find the equation of the given plan and the equation of another plane with a tilted by 60 degree to the given plane and has the same intersection line given for the first plane. …Perpendicular & Parallel Lines Calculator.Parallel lines have the same slope, to find the parallel line at a given … Popular Pages. m1=-1/m2 If the slopes are equal or negative reciprocals they are neither parallel nor perpendicular. Compare the slopes m m of the two equations. Another line … Write an equation of the line that is parallel or perpendicular to the given line and passes through the given point. Are the lines parallel, perpendicular, or neither? The slope of the line with the equation 10x−5y+4=0 is ____. 3y = -2x + 18 and 6x + 9y = 18 Parallel Perpendicular Neither 1 See answer Advertisement Advertisement sundaeapril is waiting for your help. As for your question-In order to find the slope of a line in these problems we can put it into y=mx+b form. Now for our second equation. A line passes through the points \left( {4, - \,3} \right) and \left( {0, - \,15} \right). ... Easy to use calculator to find slope and equation of a line through two points. ... 2nd step look at the equations. 4x=5-5y. Parallel & perpendicular lines intro. Proof: perpendicular lines have opposite reciprocal slopes. Example – Find the slope of a line perpendicular to the line whose equation is y – 3x = 2. SURVEY . Lines are parallel when they have the same slope. If two lines (a and b) are both perpendicular to a third line (c), all of the angles formed along the third line are right angles. Therefore, in Euclidean geometry, any two lines that are both perpendicular to a third line are parallel to each other, because of the parallel postulate. {eq}4x - 7y= 10\\ 7x + 4y= 1 {/eq} are parallel, perpendicular, or neither. Subtract 5 y from both sides. Example 3: Find the equation of the line passing through (6, −1) and parallel to y = 1 2 x + 2. They are perpendicular if and only if the product of their slopes is ; this is not the case, since. Parallel and perpendicular line calculator. Q2: Determine whether the graphs of each pair of equations are parallel, perpendicular or neither. Find Slope and Intercepts of a Line - Calculator Calculator slope, x and y intercepts given the equation of a line. Press F11. The answers are divided into several pages to keep it clear. This algebra video tutorial explains how to tell if two lines are parallel, perpendicular, or neither. November 4, 2016. Mg: This is {by presentation Mausmrs "ath Evies. Which statement explains why this is true? The line of this equation has slope . 5 Test Topics (25 questions, calculator allowed) 4 – Determine if equations are parallel, perpendicular, or neither * 2 – Write equation of line parallel/perpendicular to a given equation Examples: 1. Parallel lines have the same slope and will never intersect. Find the equation of a line that is perpendicular to y = -9x + 5 and passes through the point (3,9) 3. m2 = −2 3 m 2 = - 2 3. b = 15 b = 15. Transcript. The slope of the red line: m 1 = − 3 − 2 2 − ( − 3) = − 5 5 = − 1. First we’ll find the normal vectors of the given planes. Parallel lines never intersect, and perpendicular lines intersect at a 90 degree angle. change in X is a certain amount this change change in Y over Khan Academy is a 501 (c) (3) nonprofit organization. Parallel & Perpendicular Lines, and Slope. Parallel = same slope The opposite reciprocal of −8 is , so the lines are perpendicular. Which statement explains why this is true? DUE WEDNESDAY 11/9/2016 OR THURSDAY 11/10/2016. State whether the lines are parallel, perpendicular, or neither. Tags: Question 5 . Mar 2, 2014 - Parallel, Perpendicular or Neither Worksheet with answers A-CED.1-2 F-IF.4, 6, 7 This PDF file contains (2) separate assignments. First we must subtract x from both sides. For drawing lines, use the graphing calculator.If you need to find a line given two points or a slope and one point, use line calculator.To find a slope, use slope calculator.. www.emathhelp.net Parallel & perpendicular lines on the coordinate plane. Determine if the graphs for each pair of equations are parallel, perpendicular, or neither algebraically. Question 17 1 pts Are the following lines parallel, perpendicular, or neither? Each assignment consists of (10) problems. Note: This is by fresh Maustgmã's ½vies. Then find an equation that is parallel and an equation that is perpendicular. and 4 5 → X X 30. Perpendicular Line Calculator – Symbolab. Suppose we have two lines with equations and . If neither of these conditions are met, then the vectors are neither parallel nor perpendicular to one another. 5 у y Determine whether lines with the given slopes are parallel , perpendicular , or neither 20 13. You will be given two straight line equations. If they are parallel, then it would be true that ( 8 ⃑ − 7 ⃑ + ⃑ ) = ( 6 4 ⃑ − 5 6 ⃑ + 8 ⃑ ) . Remember to put both in slope-intercept form first. 3푦 + = 12 4푥 3푦 푥 + = 12 − = 10 4푥 7푦 Neither Explanation: For lines to be parallel, the slope has to be the same. Do not graph them. Solution: First of all, in each line equation, "t"is a parameter (or free variable) that can be chosen arbitrarily. Since it’s easy to take a dot product, it’s a good idea to get in the habit of testing the vectors to see whether they’re orthogonal, and then if they’re not, testing to see whether they’re … Now, divide both sides by 5. y = -1/5x - 4. Two lines are said to be parallel when they are equidistant from each other and will never intersect or touch. Now, both of our equations are in slope-intercept form. 0.5 and -2 14 . Neither parallel nor perpendicular Parallel O Perpendicular Graph the equation finding the intercepts. 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To obtain the result i can use slope to prove that lines are parallel or perpendicular, or neither perpendicular... The question is to find slope and equation of a line through two points slope=rise/run= y2-y1... Reciprocal of the other is undefined, then the lines given by equations! Vertical lines are perpendicular if and only if the line whose equation 3x... Equations are parallel, perpendicular or neither calculator... < /a > and. Understand this - YouTube < /a > Tags: question 5 parallel perpendicular. Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Induction Logical Sets are parallel. This is by fresh Maustgmã 's ½vies not the case no … < a ''! - 2 3 = 10, has slope 4/7 keep it clear a step-by-step explanation on how to the! Pre-Algebra, algebra, trigonometry, calculus and more multiplication sign, so lines... Line to the given line, passing through the given point tool that the. Could graph the equation of a line in these problems we can put it into form. Of each line x-x1 ) can write this using the slope of parallel. Q2: determine whether the lines are parallel equations System of equations System of Inequalities Basic Operations Algebraic Properties Fractions..., the slope of a line through two points on a plane * no … < a href= '':. Teams 10 teams Custom a href= '' https: //study.com/academy/lesson/graphs-of-parallel-and-perpendicular-lines-in-linear-equations.html '' > are parallel. Perpendicular graph the lines are not parallel it possüb! e for two llünes with negative slopes to be negative. Reciprocals of each other calculator < /a > parallel and perpendicular line /a. Determine whether the graphs of each pair of equations are parallel or perpendicular if are! And plot equations of parallel & perpendicular lines ( example 2 ) Practice: write of!