Question

decide whether the following statement is true or false.
the slope of a nonvertical line is the average rate of change of the linear function.

choose the correct answer below.

false
true

Explanation:

The average rate of change of a linear function \(y = mx + b\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(\frac{y_2 - y_1}{x_2 - x_1}\). For a non - vertical line \(y=mx + b\), the slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). So the slope of a non - vertical line is the average rate of change of the linear function.

Answer:

True