Find the Slope of a Perpendicular Line y-2x=-5

$y - 2 x = - 5$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Add $2 x$ to both sides of the equation.

$y = - 5 + 2 x$

Reorder $- 5$ and $2 x$ .

$y = 2 x - 5$

Step 2

Using the slope-intercept form, the slope is $2$ .

$m = 2$

Step 3

The equation of a perpendicular line to $y = 2 x - 5$ must have a slope that is the negative reciprocal of the original slope.

$m_{perpendicular} = - \frac{1}{2}$

Step 4