# What is the equation of the line perpendicular to y=-23x  that passes through  (-1,-6) ?

Dec 27, 2015

The slope of a perpendicular line is always the negative reciprocal of the other line's slope.

#### Explanation:

If the slope of y = -23x is -23, the slope of the perpendicular line is $\frac{1}{23}$.

y - (-6) = $\frac{1}{23}$(x - (-1)

y = $\frac{1}{23} x$ + $\frac{1}{23}$ - 6

y = $\frac{1}{23} x$ - $\frac{137}{23}$

y = $\frac{1}{23} x$ - $\frac{137}{23}$ is the equation of the line perpendicular to y = -23x and that passes through (-1, -6).

Hopefully you understand now!