EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = 4 6 2 3 = Simplify. Substitute.

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EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = = Simplify. Substitute. Write formula for slope. Find the slope of the line shown.

EXAMPLE 2 Write an equation from a graph GUIDED PRACTICE for Example 1 Find the slope of the line that passes through the points. ANSWER 3 1. (5, 2) and (4, –1)

Write an equation from a graph GUIDED PRACTICE for Example 1 2. (–2, 3) and (4, 6) 1 2 ANSWER Find the slope of the line that passes through the points.

Write an equation from a graph GUIDED PRACTICE for Example 1 3. (, 5) and (, –3) ANSWER 2 Find the slope of the line that passes through the points.