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Understanding Slope, Parallel and Perpendicular Lines in Mathematics

In this lesson, we explore the concept of slope in lines, including how to determine the steepness using the rise-over-run formula. You'll learn how to recognize positive, negative, zero, and undefined slopes. We also discuss finding slope between points, with practical examples for you to try. Moreover, you will understand the characteristics of parallel and perpendicular lines, focusing on their slopes. Equip yourself with the knowledge to solve related problems effectively.

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Understanding Slope, Parallel and Perpendicular Lines in Mathematics

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  1. Math 9 Lesson #13 – Slope, Parallel and Perpendicular Lines Mrs. Goodman

  2. What is the slope of a line? • The slope of a line describes it’s steepness

  3. Slope = Rise • Run

  4. If a line has a positive slope, it will look like this…

  5. If a line has a negative slope, it will look like this…

  6. If a line has a slope of zero, it will look like this…

  7. If a line has an undefined slope, it will look like this…

  8. 2 4 6 8 10 12 x 0 2 4 6 8 10 12 -12-10-8 -6 -4 -2 -10-8 -6-4-2 y

  9. 2 4 6 8 10 12 x 0 2 4 6 8 10 12 -12-10-8 -6 -4 -2 -10-8 -6-4-2 y

  10. 2 4 6 8 10 12 x 0 2 4 6 8 10 12 -12-10-8 -6 -4 -2 -10-8 -6-4-2 y

  11. How do you find slope? • m = y2 – y1 • x2 – x1

  12. Find the slope between (4, 3) and (5, 6) • m = 6 – 3 • 5 – 4 • m = 3 • 1 • m = 3 Rise Run

  13. Find the slope between (-1, 6) and (4, 3) • m = 3 – 6 • 4 – (-1) • m = -3 • 4 + 1 • m = -3 • 5

  14. You try some! • Find the slope between the following points: • (0, 4) and (-2, 6) • (-4, -7) and (0, 0) • (5, 8) and (5, -2) Pause the video here and try these!

  15. Parallel Lines • Parallel Lines have the same slope

  16. Perpendicular Lines • Perpendicular Lines have opposite reciprocal slopes • Ex. y = ¼ x + 1 • y = -4x + 1

  17. That’s all for today! • Use your notes to help you practice. • See you next time!

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