# How do you find the slope that is perpendicular to the line y=7/5x - 2?

Oct 23, 2017

The slope is $\frac{- 5}{7}$.

#### Explanation:

The slope of a line in slope intercept form ($y = m x + b$) gives the slope of the line. The coefficient of $x$, which we call $m$, is equal to a line's slope.

In this case, the slope is $\frac{7}{5}$.

To find the slope of a perpendicular line, we simply use the negative reciprocal of the number. The reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$.

Therefore, the negative reciprocal of $\frac{7}{5}$ is $\frac{- 5}{7}$.

The slope of a perpendicular line is therefore $\frac{- 5}{7}$.

In other cases, you might need to manipulate the equation to get it in slope intercept form.