Constant Rate of Change and Slope 9.3. Rate of Change Rate of Change: describes how a quantity changes in relation to another Constant Rate of Change:

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Presentation transcript:

Constant Rate of Change and Slope 9.3

Rate of Change Rate of Change: describes how a quantity changes in relation to another Constant Rate of Change: The rate of change is the same between any two point. All Linear Functions have a Constant Rate of Change

Find the Constant Rate of Change in the table Hours (x) 1234 Feet (y)

Slope

Meet Joe….Joe Cool Joe has a disease, he can only walk to the right. Use Joe to help you find the slope Always start on the left to help Joe walk to the right

“slope” 3

Graph the line containing the points (-4,2) and (2,-3) and find the slope. 6

Slope of a Horizontal line (y=#) Always 0

What is the slope? (5,4) (-6,4) Horizontal line = “0” slope

Slope of a Vertical Line (x=#) Always Undefined

What is the slope? (3,8) (3,-2) Vertical line = “no slope”

Slope Formula

Find the slope of the line containing (2,2) and (8,9) 9-2 =

Find the slope of the line containing (-4,-6) and (3,-2) M= = =

Find the slope of the line containing (1,1) and (3,5)

Adventures of Slope Dude R-w R-w

Homework Page 400 (7-22) all