1 / 10

Writing Equations of Parallel and Perpendicular Lines

Notes Slide. Point-slope form of an equation: y-y1=m(x-x1)When writing an equation of the line, remember that you need two pieces of information:1.) Any point on the line2.) the slopeTo find the slope, you must remember two rules.Parallel lines have the same slope.Ex: If the slope is -4,

guillaume
Download Presentation

Writing Equations of Parallel and Perpendicular Lines

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

    1. Writing Equations of Parallel and Perpendicular Lines J. Bradford

    2. Notes Slide Point-slope form of an equation: y-y1=m(x-x1) When writing an equation of the line, remember that you need two pieces of information: 1.) Any point on the line 2.) the slope To find the slope, you must remember two rules. Parallel lines have the same slope. Ex: If the slope is -4, the parallel slope will be -4. Perpendicular lines have negative reciprocal slopes of each other. Ex: If the given slope is 3, the perpendicular slope will be -1/3. After you get this information, plug the x and y values from your point and the slope (m) value into the formula and solve for y.

    3. Practice Problem #1 Which of the following is an equation of the line that passes through (3,-5) and has a slope parallel to 2? y=2x-11 y=2x+11 y=3x-1 D. y=3x-11

    4. Practice Problem #2 Which of the following is an equation of the line that passes through (1,-1) and is perpendicular to ? y=2x-1 y=2x+3 y=2x-3 D. y=2x+1

    5. Practice Problem #3 Write an equation for the line that passes through (-2,-5) and is parallel to the line y=4x-1. y=4x-22 y=4x+3 y=4x+18 D. y=4x-3

    6. Practice Problem #4 Write an equation of the line that passes through (1,6) and is parallel to the line x+y=-4. y=x+5 y=-x+7 y=x+7 D. y=-x-7

    7. Practice Problem #5 Which of the following is an equation of the line that passes through (2,-7) and has a slope perpendicular to ? A. y=5x-17 B. y=5x+3 C. y=-5x+17 D. y=-5x+3

    8. Practice Problem #6 Find the equation of the line perpendicular to the line whose equation is y=-3x+5 and which passes through the point (3,-2). y= x-3 y=-3x+11 y=- x-1 D. y= x+3

    10. Resources Mrs. Gatlin’s Notes www.wtamu.edu/ www.explorelearning.com Mrs. Gatlin’s Unit 2 Test McDougal Littell Algebra 2 Book

More Related