Chapter 8.6, Problem 82S

To determine

To find: The slope of the line passes through the above pair of points.

Answer to Problem 82S

The slope is : −2

Explanation of Solution

Given information:

The points are:

  $\begin{array}{l}\left(x_1,y_1\right)=(-4,-1)\hfill \\ \left(x_2,y_2\right)=(-3,-3)\hfill \end{array}$

Calculation:

Here the points are:

  $\begin{array}{l}\left(x_1,y_1\right)=(-4,-1)\hfill \\ \left(x_2,y_2\right)=(-3,-3)\hfill \end{array}$

The strategy is to find the slope of the line passes through the above pair of points.

The slope of the line is found as below:

  $\begin{array}{cc}m& =\frac{y_2-y_1}{x_2-x_1}\\ =& \frac{-3-(-1)}{-3-(-4)}\\ & =\frac{-3+1}{-3+4}\\ & =\frac{-2}{1}\\ =& -2\end{array}$

Hence, the slope is : −2