WarmUp Slope Objectives Define slope as the ratio

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Warm-Up

Warm-Up

Slope Objectives: • Define slope as the ratio of vertical rise to horizontal run.

Slope Objectives: • Define slope as the ratio of vertical rise to horizontal run. • Determine the slope of a line given a graph. • Determine the slope of a line given two points on the line. • State the formula for slope as slope equation

Slope 10 run 8 Slope = 6 4 rise 2 -4 -2 -2 -4

Slope 10 run 8 Slope = 6 4 rise 2 -4 -2 -2 -4 -6 -8 -10 2 4 6 8 10

Example 1 Graph the line containing points (2, 1) and (7, 6) and find

Example 1 Graph the line containing points (2, 1) and (7, 6) and find the slope. 10 Slope = 8 run 6 rise 4 2 -4 -2 -2 -4 -6 -8 -10 2 4 6 8 10

Practice Graph the line containing these points and find their slopes. 1) (-2, 3)

Practice Graph the line containing these points and find their slopes. 1) (-2, 3) (3, 5) 2) (0, -3) (-3, 2)

Slope = or

Slope = or

Example 2 Find the slope of the line containing points (1, 6) and (5,

Example 2 Find the slope of the line containing points (1, 6) and (5, 4).

Practice Find the slope of the lines containing these points. 1) (2, 2) (8,

Practice Find the slope of the lines containing these points. 1) (2, 2) (8, 9) 3) (5, -11) (-9, 4) 2) (-2, 3) (2, 1)

Slope of a Horizontal Line What about the slope of a horizontal line? What

Slope of a Horizontal Line What about the slope of a horizontal line? What is the rise? 0 10 8 What is the run? 6 6 4 Slope = The slope of ANY horizontal line is 0. 2 -4 -2 -2 -4 -6 -8 -10 2 4 6 8 10

Slope of a Vertical Line What about the slope of a vertical line? What

Slope of a Vertical Line What about the slope of a vertical line? What is the rise? 5 10 8 What is the run? 0 6 4 Slope = The slope of ANY vertical line is undefined. 2 -4 -2 -2 -4 -6 -8 -10 2 4 6 8 10

Example 1 Find the slope of the line y = -4. 10 8 6

Example 1 Find the slope of the line y = -4. 10 8 6 Slope = 4 2 -4 -2 -2 -4 -6 -8 -10 2 4 6 8 10

Example 2 Find the slope of the line x = 7. 10 8 6

Example 2 Find the slope of the line x = 7. 10 8 6 4 Slope = The line has no slope. 2 -4 -2 -2 -4 -6 -8 -10 2 4 6 8 10

Practice Find the slopes, if they exist, of the lines containing these points. 1)

Practice Find the slopes, if they exist, of the lines containing these points. 1) (9, 7) (3, 7) 3) (2, 4) (-1, 5) 2) (4, -6) (4, 0)

Homework Worksheet on Slope

Homework Worksheet on Slope