Chapter 5.6, Problem 9P

Determine whether the graphs of the given equations are parallel, perpendicular, or neither. Explain.

$y=\frac{7}{8}$

$x=-4$

To determine

Whether the graphs of $y=\frac{7}{8}\text{and}x=4$ are parallel, perpendicular, or neither.

Answer to Problem 9P

The graphs of given equations are perpendicular because the graph of the first equation is parallel to x -axis and the graph of the second equation is perpendicular to x -axis.

Explanation of Solution

Given information:

The equations are

  $\begin{array}{l}y=\frac{7}{8}\\ x=4\end{array}$

The graph of the equation $y=\frac{7}{8}$ is parallel to x -axis, whereas the graph of $x=4$ is perpendicular to x -axis.

Conclusion:

Since graph of the first equation is parallel to x -axis and the graph of the second equation is perpendicular to x -axis, both the graphs are perpendicular to one another.