Chapter 8.3, Problem 8OE

To determine

To calculate: The slope of each line.

  

Answer to Problem 8OE

The slope is $-\frac{5}{2}$ .

Explanation of Solution

Given information:

The graph of line with points.

  $\left(-1,2\right),\left(1,-3\right)$

Formula used:

For slope of line.

  $m=\frac{y_2-y_1}{x_2-x_1}$

calculation:

Consider the points:

  $\left(-1,2\right),\left(1,-3\right)$

Recall that, the slope of line.

  $m=\frac{y_2-y_1}{x_2-x_1}$

The points of line are:

  $\left(-1,2\right),\left(1,-3\right)$

Here,

  $\begin{array}{l}{x}_1=-1,x_2=1\\ y_1=2,y_2=-3\end{array}$

Apply these values in the formula.

  $\begin{array}{c}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{-3-2}{1+1}\\ m=-\frac{5}{2}\end{array}$

Here, $-\frac{5}{2}$ is not simplified further.

The slope of the line is $m=-\frac{5}{2}$ .

Thus, the slope is: $m=-\frac{5}{2}$ .