Find the Slope of a Perpendicular Line y=4x+1

$y = 4 x + 1$

Use the slope-intercept form to find the slope.

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

$y = m x + b$

Using the slope-intercept form, the slope is $4$ .

$m = 4$

The equation of a perpendicular line to $y = 4 x + 1$ must have a slope that is the negative reciprocal of the original slope.

$m_{perpendicular} = - \frac{1}{4}$