# How do you find the slope that is perpendicular to the line y = -3x + 1?

##### 1 Answer
May 22, 2018

$m = \frac{1}{3}$

#### Explanation:

For two lines to be perpendicular to one another, their slopes must be negative reciprocals of one another (when the numbers are multiplied, it must produce -1).

Thus, the slope of the new line must be 1/3.

$\frac{1}{3} \cdot - 3 = - \frac{3}{3} = - 1$