Chapter 13, Problem 3RP

To determine

To find: The slope of $\overleftrightarrow{BH}$ .

Answer to Problem 3RP

The slope of the line is $-4$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

The H is reflected over the barrier $y=10$ .

Calculation:

Consider that he $H^{\prime }$ is the reflection of the H over the line $y=10$ . Thus, find the distance from H to $y=10$ and the distance is the difference between the y coordinate of H and 10. Then, to find the value of $H^{\prime }$ add the twice of the distance to the y coordinate of the H .

The distance between H and $y$ is,

  $10-4=6$

The next step is to find the slope between the B and $H^{\prime }$ . Thus, the slope is the change in the $y$ over the change of x.

  $\begin{array}{c}m=\frac{0-16}{6-12}\\ =-4\end{array}$