# What is the slope of the line perpendicular to  y=-2 X+3 ?

Apr 27, 2018

The slope of the perpendicular line is $\frac{1}{2}$.

#### Explanation:

$y = 2 x + 3$

To find the slope of a line perpendicular to a given line, find the slope of the given line.
The slope of $y = - 2 x + 3$ is $- 2$. (To find the slope, make sure the line is in y = mx + b form.)

The slope is the coefficient of $x$ when in that form. The given line is this problem was already in the correct form.

To find the perpendicular slope, simply take the negative reciprocal of the given slope and change the sign. Our given slope was $- 2$ so the perpendicular slope is $\frac{1}{2}$.

Note that the perpendicular slope is positive, and the given slope was negative.