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You can calculate the slope of a line given two points on a x-y grid.

You can calculate the slope of a line given two points on a x-y grid. y. x. Directions For The Rise and Run. Upward - Positive Rise Downward - Negative Rise Right - Positive Run Left - Negative Run. Example 1. . y x.

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You can calculate the slope of a line given two points on a x-y grid.

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  1. You can calculate the slopeof a line given two pointson a x-y grid. y x

  2. Directions For The Rise and Run • Upward - Positive Rise • Downward - Negative Rise • Right - Positive Run • Left - Negative Run

  3. Example 1 • . • y • x Given points A (2, -1) and B (4, 5), calculate the slope of line AB. Plot points A (2,-1) and B (4, 5). Calculate the slope of line AB. Draw line AB. Determine the rise and run of line AB. B m = rise run = 6 2 rise = 6 = 3 A run = 2 Therefore the slope of line AB is positive. The slope of line AB is 3. Since the line slants upwards from left to right, the rise is positive.

  4. Example 2 Given points Q (-5, 2) and R (5, -4), calculate the slope of line QR. Determine the rise and run of line QR. Calculate the slope of line QR. Draw line QR. Plot points Q (-5, 2) and R (5, -4). y x m = rise run Since the line slants downwards from left to right, the rise is negative. = -6 10 Q = -3 5 Reduce fraction to lowest terms. rise = -6 Therefore the slope of line QR is negative. The slope of line QR is -3 . 5 R run = 10

  5. Practice: 1. Given points C (1, 5) and D (4, 3), calculate the slope of line CD. 2. Given points Y (-6, -4) and Z (-2, 2), calculate the slope of line YZ. 3. Given points O (-3, 4) and P (4, 4), calculate the slope of line OP. 4. Given points E (3, -2) and F (3, -5), calculate the slope of line EF. 5. A ramp reaches a door which is 2m above the ground. The ground distance (the base of the ramp) is 5m long. A ramp is considered safe if its slope is less than 0.3. Is the ramp safe?

  6. Practice 1. Given points C (1, 5) and D (4, 3), calculate the slope of line CD. y m = rise run C -2 = -2 3 3 D x Therefore the slope of line CD is negative. The slope of line CD is -2 . 3

  7. Practice 2. Given points Y (-6, -4) and Z (-2, 2), calculate the slope of line YZ. y m = rise run 4 = 6 4 Z = 3 2 x 6 Therefore the slope of line YZ is positive. The slope of line YZ is 3 . 2 Y

  8. Practice 3. Given points O (-3, 4) and P (4, 4), calculate the slope of line OP. y m = rise run 7 O P = 0 7 x = 0 Therefore the slope of the horizontal line, OP, is zero.

  9. Practice 4. Given points E (3, -2) and F (3, -5), calculate the slope of line EF. y m = rise run = 3 0 x = undefined E Therefore the slope of the vertical line, EF, is undefined since three is not divisible by zero. 3 F

  10. Final Challenge A ramp reaches a door which is 2m above the ground. The ground distance (the base of the ramp) is 5m long. A ramp is considered safe if its slope is less than 0.3. Is the ramp safe? m = rise run 2m = 2 5 5m = 0.4 Therefore the slope of the ramp is 0.4. Since the slope of the ramp is greater than 0.3, the ramp is too steep and is not considered safe.

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