# How do you find the slope that is perpendicular to the line y=2x+11?

We given the slope of a line, m, the slope of all lines that are perpendicular is: $n = - \frac{1}{m}$
The slope of the line $y = 2 x + 11$ is $m = 2$
The slope of all lines that are perpendicular to the given line is $n = - \frac{1}{m} = - \frac{1}{2}$