Slope Objectives Be able to find the slope

Slope Objectives: -Be able to find the slope of a line on a graph! -

Average Rate of Change Find the average rate of change on the interval [0, 1] Find the average rate of change on the interval [1, 2] Are they the same?

Find the rate of change on the interval [0, 2] Find the rate of change on the interval [2, 4] Find the rate of change on the interval [-4, -2] Are they the same?

Linear Function? • What is a linear function?

Linear Functions • have a constant rate of change (the rate of change is the same on every interval) – This constant rate of change is called ______ Slope formula: we can find the slope by counting units on the graph.

• SLOPE describes • Bigger slope number = steeper line! • A straight line will NEVER CHANGE SLOPE!!!

Which line is steeper?

How steep is this line?

Which line is steeper?

Find the slope… (7, 8) (4, -4)

Find the slope of each line…

Positive Zero Negative Undefined

Find the slope: 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Which one of these lines could it be?

Match: 1) Slope = ½ 2) Slope = 2 3) Slope = 3 4) Slope = -½ 5) Slope = -¼ 6) Slope = -3 A B C D E F

Find and interpret the slope

Finding the Slope between two points You can get the by counting on a graph OR by subtracting the ycoordinates. You can get the by counting on the graph OR subtracting the x-coordinates. Slope Formula:

Find the Slope Between (1, 4) and (3, 9) Between (-3, -4) and (7, 1)

Find the Slope Between (-6, 2) and (-4, -10) Between (-4, 6) and (1, 6)

Slope from a table! x 5 10 15 20 25 y -3 0 3 6 9

Slope from a table! x y 0 3 9 27 21 9 10 7

Find slope (-5, 7) and (3, 4) (-5, 7) (3, 4)