Chapter 11.1, Problem 25E

To determine

To calculate: to find the slope of the line through the points $\left(-3,-5\right),\left(-6,7\right)$ .

Answer to Problem 25E

The slope of the line through the points $\left(-3,-5\right),\left(-6,7\right)$ is $-4$ .

Explanation of Solution

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

  $\left(-3,-5\right),\left(-6,7\right)$ .

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.

  $\begin{array}{l}\frac{y_2-y_1}{x_2-x_1}=\frac{7-(-5)}{-6-(-3)}\\ \frac{y_2-y_1}{x_2-x_1}=\frac{12}{-3}\\ \frac{y_2-y_1}{x_2-x_1}=-4\end{array}$

Hence,

Thus, The slope of the line through the points $\left(-3,-5\right),\left(-6,7\right)$ is $-4$ .