1 / 10

Understanding Slopes in Coordinate Geometry

Learn how to determine the slope of lines such as AB, CD, EF, GH and more in coordinate geometry. Identify positive, negative, zero, or undefined slopes. Discover parallel and perpendicular lines based on their slopes.

ria-english
Télécharger la présentation

Understanding Slopes in Coordinate Geometry

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. 7-5 Coordinate Geometry AB positive slope; slope of AB = 1 8 Course 3 Check It Out: Example 1A Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A C E F G H D

  2. 7-5 Coordinate Geometry slope of CD is undefined Course 3 Check It Out: Example 1B Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A CD C E F G H D

  3. 7-5 Coordinate Geometry slope of EF = 0 Course 3 Check It Out: Example 1C Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A EF C E F G H D

  4. 7-5 Coordinate Geometry negative slope; slope of GH = = – –1 3 1 3 Course 3 Check It Out: Example 1D Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A GH C E F G H D

  5. 7-5 Coordinate Geometry Helpful Hint If a line has slope , then a line perpendicular to it has slope – . a b b a Course 3

  6. 7-5 Coordinate Geometry 3 2 slope of EF = 3 5 slope of GH = 3 5 slope of PQ = –2 3 2 3 slope of CD = or – 3 –3 slope of QR = or –1 Course 3 Additional Example 2: Finding Perpendicular Line and Parallel Lines Which lines are parallel? Which lines are perpendicular?

  7. 7-5 Coordinate Geometry GH || PQ 3 5 3 5 The slopes are equal. = EFCD The slopes have a product of –1: • – = –1 2 3 3 2 Course 3 Additional Example 2 Continued Which lines are parallel? Which lines are perpendicular?

  8. 7-5 Coordinate Geometry –4 6 –6 4 –2 3 –3 2 slope of EF = or slope of AB = or –2 3 slope of CD = 2 3 slope of GH = 3 3 slope of JK = or 1 Course 3 Check It Out: Example 2 Which lines are parallel? Which lines are perpendicular? A C K D E H B J G F

  9. GHAB 7-5 Coordinate Geometry CD || EF –2 3 –2 3 The slopes are equal. = The slopes have a product of –1: • – = –1 3 2 2 3 Course 3 Check It Out: Example 2 Continued Which lines are parallel? Which lines are perpendicular? A C K D E H B J G F

  10. 7-5 Coordinate Geometry 10 3 – MN, RQ Course 3 Insert Lesson Title Here Lesson Quiz Determine the slope of each line. 1.PQ 2.MN 3.MQ 4.NP 5. Which pair of lines are parallel? 1 8 7

More Related