Q. 10 - Precalculus Enhanced with Graphing Utilities

Question

True or False The slope of a nonvertical line is the average rate of change of the linear function. 

Step-by-Step Solution

Answer

Given Statement is true.

Step 1. Given Information

The slope of a nonvertical line is the average rate of change of the linear function. 

Step 2. Explanation

Linear functions have a constant average rate of change. That is, the average rate of change of a linear function $f\left(x\right)=mx+b$is

$\frac{∆y}{∆x}=m.$

Hence, given statement is true.