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

Standardized Test Practice EXAMPLE 2 SOLUTION Let (x 1, y 1 ) = (–1, 3) and (x 2, y 2 ) = (2, –1). m = y2 – y1y2 – y1 x2 – x1x2 – x1 = – 1 – 3 2 – (–1) = 4 3 ANSWER The correct answer is A.

for Examples 1 and 2 GUIDED PRACTICE 1. 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 slope = rise run = ANSWER The slope of the ramp is = 2 9

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

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

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

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

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