# How do you find the slope that is perpendicular to the line y=3x+2 ?

##### 1 Answer
Jan 24, 2017

Any line with gradient $- \frac{1}{3}$ will be perpendicular to the line $y = 3 x + 2$.

(it should have the form $y = - \frac{1}{3} x + b$, where b is an arbitrary number)

#### Explanation:

To find the equation of perpendicular lines, find the reciprocal of the gradient (in this case $\frac{1}{3}$) and multiply it by $- 1$. To check, the gradient of the original line multiplied by the gradient of the new line should be equal to $- 1$.