## 5-3 Rate of Change & SLope

**Objectives:**Find rates of change and slopes & relate a constant rate of change to the slope of a line.

**is a ratio between the dependent & independent variables. There may be more than one rate of change in a data set if there is not a constant change.**

__Rate of change__To find the rate of change from the table, you would make a ratio of the dependent (

*y*) variable to the independent*(x)*variable. Each ratio (4/2, 8/4, 6/2, & 2/1) can be simplified to 2/1 or 2, so this table would have a CONSTANT rate of change, or SLOPE, or 2.The

The

x-values. You must be consistent in subtraction. (Point 2 minus Point 1 for

**of a line is the ratio of**__slope__**to**__rise__**for ANY two points on the line.**__run__The

**rise**is the difference between two y-values, and the**run**is the difference between twox-values. You must be consistent in subtraction. (Point 2 minus Point 1 for

*both*rise AND run)**Types of Slopes**

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**Slope and rate of change**:HTML