# Question #06e3a

##### 1 Answer

The line perpendicular to the given line is

or

#### Explanation:

You are given a point and an easy way to find slope, so the most convenient equation is the point-slope form of the equation of the wanted line.

**Find the slope of the wanted line**

The slopes of lines that are perpendicular to each other are the "negative inverse" of each other's slopes.

So first, find *the slope of the given line* by solving for

Subtract

Divide both sides by

*The slope of the given line* is

......................

The slope of any line perpendicular to this one is

the "negative inverse" of

The negative inverse is

So the slope of the wanted line is

.......................

The point-slope formula of a line is

where

Subbing in

for the wanted line

This simplifies to

**Answer:**

The point-slope equation of the wanted line is

This is the same as the slope-intercept form