Chapter 1.5, Problem 15E

To determine

To find: whether graphs of given equations are parallel, coinciding, perpendicular, or none of these.

Answer to Problem 15E

Perpendicular

Explanation of Solution

Given information:

  $\begin{array}{l}y=-3\mathrm{...}(1)\\ x=6\mathrm{...}(2)\end{array}$

Calculation:

Compare equation (1) with slope intercept equation to get,

  $\begin{array}{l}m=0\\ b=-3\end{array}$

This is a horizontal line.

Compare equation (2) with slope intercept equation to get,

  $\begin{array}{l}m=\text{undefined}\\ b=\text{ none}\end{array}$

This is a vertical line.

The vertical and horizontal lines are always perpendicular to each other.