Exercise 22 Page 191

To write the equation of a line perpendicular to the given equation, we first need to determine its slope. After that, we will write a general equation and use the given point to determine the $y\text{-}$intercept.

Calculating the Slope of the Perpendicular Line

Two lines are perpendicular when their slopes are negative reciprocals. This means that the product of a given slope and the slope of a line perpendicular to it will be $\text{-}1.$ For any equation written in slope-intercept form, $y=mx+b,$ we can identify its slope as the value of $m.$ Since the given equation is not written in slope-intercept form, we will have to rewrite it before identifying the slope.