# What is the equation of a line perpendicular to y=-2x+3?

Jan 23, 2018

$y = \setminus \frac{1}{2} x + 3$

#### Explanation:

The equation is given in slop-intercept form, $y = m x + b$, so the slope is $- 2$.

Perpendicular lines have slopes that are negative reciprocals of each other.

So the slope of the line perp. to the one given would be $\setminus \frac{1}{2}$. Everything else stays the same.

The perp. line’s equation is $y = \setminus \frac{1}{2} x + 3$.