Chapter 1.1, Problem 38E

To determine

To find: The value $x$ for the line passing through the points $A\left(-8,-2\right)$ , and $B\left(x,2\right)$ , and has slope $m=2$ .

Answer to Problem 38E

The value of $x$ is $-6$ .

Explanation of Solution

Given information: The points are $A\left(-8,-2\right)$ and $B\left(x,2\right)$ , and slope is $m=2$ .

Formula used: The formula to find the slope of the line passing through is given by,

  $m=\frac{y_2-y_1}{x_2-x_1}$

Calculation:

Substitute $-8$ for $x_1$ , $-2$ for $y_1$ , $x$ for $x_2$ , $2$ for $y_2$ , and $2$ for $m$ in the above formula.

  $\begin{array}{c}2=\frac{2-\left(-2\right)}{x-\left(-8\right)}\\ 2\left(x+8\right)=4\\ x+8=2\\ x=-6\end{array}$

Therefore, the value of $x$ is $-6$ .