Chapter 11, Problem 5STP

To determine

To find: The slope of the line on the given graph.

Answer to Problem 5STP

The slope of the line on the given graph is $-\frac{2}{3}$ .

Explanation of Solution

Given information:$$

  

From the given figure,

Select any two points on which the given line passes through.

  $A\left(0,4\right),B\left(3,2\right)$

By using the slope formula,

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{2-4}{3-0}\\ m=-\frac{2}{3}\end{array}$

Therefore the slope of the line on the given graph is $-\frac{2}{3}$ .