Chapter 5: Linear Functions

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Presentation transcript:

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

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 Rise Run

The Slope Formula Slope = = Y2 – Y1 Rise X2 – X1 Run *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.

Finding Slope Using Points What 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)?

Finding Slopes of Horizontal and Vertical Lines What is the slope of each line? (0,4) (2, 4)

Types of slope