Chapter 11.1, Problem 26E

To determine

To calculate: to find the slope of the line through the points $\left(3,-6\right),\left(-2,2\right)$ .

Answer to Problem 26E

The slope of the line through the points $\left(3,-6\right),\left(-2,2\right)$ is $-\frac{8}{5}$ .

Explanation of Solution

Given information: consider, the points provided in the question,

  $\left(3,-6\right),\left(-2,2\right)$ .

Formula used : slope of the line through the given points = $\frac{y_2-y_1}{x_2-x_1}$ .

Calculation: to find the slope first we put the value in the formula then simply it.

  $\begin{array}{l}\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-6)}{-2-3}\\ \frac{y_2-y_1}{x_2-x_1}=\frac{8}{-5}\end{array}$

Hence,

Thus, The slope of the line through the points $\left(3,-6\right),\left(-2,2\right)$ is $-\frac{8}{5}$ .