chapter 5: linear functions 5-1 – rate of change and slope rate of change shows the relationship...

Chapter 5: Linear Functions 5-1 – Rate of change and Slope Rate of change shows the relationship between two changing quantities. Rate of change = Change in the dependent variable Change in the independent variable

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Chapter 5: Linear Functions5-1 – Rate of change and Slope

Rate of change shows the relationship between two changing quantities.

Rate of change = Change in the dependent variableChange in the independent variable

Finding Rate of Change Using a Table

Time (minutes)

Distance (feet)

1 260

2 520

3 780

4 1040

*Calculate the rate of change from one row of the table to the next.

Finding Slope Using a Graph

Slope = =

When data are linear, the rate of change is constant. The constant rate of change of a line is called the slope of a line.

vertical change horizontal change

RiseRun

Page 4: Chapter 5: Linear Functions 5-1 – Rate of change and Slope Rate of change shows the relationship between two changing quantities. Rate of change = Change

Page 5: Chapter 5: Linear Functions 5-1 – Rate of change and Slope Rate of change shows the relationship between two changing quantities. Rate of change = Change

The Slope Formula

Y2 – Y1

X2 – X1

RiseRun Slope = =

*The x-coordinate you use first in the denominator must belong to the SAME ordered pair as the y-coordinate you use first in the numerator.

Page 6: Chapter 5: Linear Functions 5-1 – Rate of change and Slope Rate of change shows the relationship between two changing quantities. Rate of change = Change

Finding Slope Using PointsWhat is the slope of the line through (-1, 0) and (3, -2)?

What is the slope of the line through (1, 3) and (4, -1)?

Page 7: Chapter 5: Linear Functions 5-1 – Rate of change and Slope Rate of change shows the relationship between two changing quantities. Rate of change = Change

Finding Slopes of Horizontal and Vertical Lines

What is the slope of each line?

(2, 4)(0,4)

Page 8: Chapter 5: Linear Functions 5-1 – Rate of change and Slope Rate of change shows the relationship between two changing quantities. Rate of change = Change

Types of slope

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