Digits, Grade 7, Volume 1, Homework Helper

## Topic 8: Representing Linear Relationships

### 8-1: Rate of Change

#### Key Concept

As you ride a bike up a hill, both your vertical distance (the rise) and your horizontal distance (the run) from the bottom of the hill change. You can measure the steepness of the hill by its slope, the ratio that compares the rise and run between two points on the hill.

The slope is also called the rate of change of the linear relationship that models the hill.

table with 2 rows and 2 columns , row1 column 1 , shop , column 2 equals . rateofchange . equals . fraction verticalchange , over horizontalchange end fraction , row2 column 1 , , column 2 equals . fraction rise , over run end fraction , end table

The rate of change of a linear relationship is constant.

table with 2 rows and 2 columns , row1 column 1 , rateofchange , column 2 equals . fraction verticalchange , over horizontalchange end fraction , row2 column 1 , , column 2 equals , 6 eighths , comma or , 3 fourths , end table

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