EXAMPLE 1 Find slope in real life Skateboarding

EXAMPLE 1 Find slope in real life Skateboarding A skateboard ramp has a rise of 15 inches and a run of 54 inches. What is its slope? SOLUTION 5 15 slope = rise = = run 54 18 ANSWER The slope of the ramp is 5. 18

EXAMPLE 2 Standardized Test Practice SOLUTION Let (x 1, y 1) = (– 1, 3) and (x 2, y 2) = (2, – 1). y 2 – y 1 m= x –x 2 1 – 1– 3 4 = 2 – (– 1) = 3 ANSWER The correct answer is A.

GUIDED PRACTICE 1. for Examples 1 and 2 What If ? In Example 1, suppose that the rise of the ramp is changed to 12 inches without changing the run. What is the slope of the ramp? SOLUTION 2 12 slope = rise run = 54 = 9 ANSWER The slope of the ramp is 2. 9

GUIDED PRACTICE 2. for Examples 1 and 2 What is the slope of the line passing through the points (– 4, 9) and (– 8, 3) ? SOLUTION Let (x 1, y 1) = (– 4, 9) and (x 2, y 2) = (– 8, 3). y 2 – y 1 m= x –x 2 1 3 – (9) 3 = – 8 – (– 4) = 2 ANSWER The correct answer is D.

for Examples 1 and 2 GUIDED PRACTICE Find the slope of the line passing through the given points. 3. (0, 3), (4, 8) SOLUTION Let (x 1, y 1) = (0, 3) and (x 2, y 2) = (4, 8). y 2 – y 1 m= x –x 2 1 = ANSWER 5 4 8– 3 5 4– 0 = 4

for Examples 1 and 2 GUIDED PRACTICE 4. (– 5, 1), (5, – 4) SOLUTION Let (x 1, y 1) = (– 5, 1) and (x 2, y 2) = (5, – 4) y 2 – y 1 m= x –x 2 1 ANSWER – 4– 1 1 – = 5 – (– 5) = 2 – 1 2

GUIDED PRACTICE 5. for Examples 1 and 2 (– 3, – 2), (6, 1) SOLUTION Let (x 1, y 1) = (– 3, – 2) and (x 2, y 2) = (6, 1). y 2 – y 1 m= x –x 2 1 = ANSWER 1 3 1 –( – 2) 1 6 – (– 3) = 3

for Examples 1 and 2 GUIDED PRACTICE 6. (7, 3), (– 1, 7) SOLUTION Let (x 1, y 1) = (7, 3) and (x 2, y 2) = (– 1, 7). y 2 – y 1 m= x –x 2 1 ANSWER 7– 3 1 – = – 1– 7 = 2 – 1 2