Lesson 5-1 Rate of Change and Slope Sept. 8, 2014

Daily Learning Target I will find rates of change from tables I will calculate slope.

Slope is a measure of Steepness.

Types of Slope Positive Negative Zero Undefined or No Slope

Slope is sometimes referred to as the “rate of change” between 2 points.

The letter “m” is used to represent slope. Why?

If given 2 points on a line, you may find the slope using the formula y 2 – y 1 x 2 – x 1 m =

The formula may sometimes be written as m =∆y. ∆x What is ∆ ?

Find the slope of the line through the points (3,7) and (5, 19). x1x1 y1y1 x2x2 y2y2 m = 19 – 7 5 – 3 m = 12 2 m = 6

(3, 4) and (-6, -2) -2 – 4 -6 – 3 m = m = ⅔ m=

Example 1 Time (min)Distance (ft) The following table shows the distance a band marches over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?

What if the numerator is 0? What if the denominator is 0?

If given the graph of a line, find the slope by using the “triangle” method to find the rise over run.

rise = 4 run = 5 m= rise run m= 4/5

Homework Workbook page 139 problems 1, 3, 5, 6, 8, 12, 13, 15 Page ALL