# How do you find the slope that is perpendicular to the line y=-4x+2?

$m \bot = \frac{1}{4}$
The slope of a line perpendicular to a line in the form $y = m x + b$ is given by $m \bot = \frac{\text{-} 1}{m}$.
Since in this equation $m = \text{-} 4$, $m \bot = \left(\text{-"1)/("-} 4\right) = \frac{1}{4}$