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

Math 9 Lesson #13 – Slope, Parallel and Perpendicular Lines Mrs. Goodman. What is the slope of a line?. The slope of a line describes it’s steepness. Slope = Rise Run. If a line has a positive slope, it will look like this….

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

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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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