Chapter 7, Problem 1AE

To determine

To find the value of $x$ , if the mid point of $\overline{RS}$ is $-1$ , where the coordinates of R and S on the number line are $-8$ and $x$ .

Answer to Problem 1AE

  $x=6$

Explanation of Solution

Given:

The coordinates of R and S on the number line are $-8$ and $x$ and the mid point of $\overline{RS}$ is $-1$ .

Calculation:

Given that, the mid point of $\overline{RS}$ is $-1$ . That is,

  $\begin{array}{l}\frac{-8+x}{2}=-1\\ \Rightarrow -8+x=-2\left[\text{Multiplying}\text{by}\text{2}\text{on}\text{both}\text{sides}\right]\\ \Rightarrow x=6\left[\text{Adding}8\text{on}\text{both}\text{sides}\right]\end{array}$