# How do you find the slope that is perpendicular to the line y = 2x + 5?

Mar 24, 2018

$\text{perpendicular slope } = - \frac{1}{2}$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$y = 2 x + 5 \text{ is in this form with slope m } = 2$

$\text{Given a line with slope m then the slope of a line}$
$\text{perpendicular to it is}$

•color(white)(x)m_(color(red)"perpendicular")=-1/m

$\Rightarrow {m}_{\text{perpendicular}} = - \frac{1}{2}$