# How do you write an equation of a line passing through (-2, -4), perpendicular to  y= 2/3x - 5?

Sep 11, 2016

$y = - \frac{3}{2} x - 7$

#### Explanation:

If the lines are perpendicular, then the slope of the new line is $- \frac{3}{2}$

With a point $\left(- 2 , - 4\right)$ and the slope $- \frac{3}{2}$ use the equation:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - \left(- 4\right) = - \frac{3}{2} \left(x - \left(- 2\right)\right)$

$y + 4 = - \frac{3}{2} x - 3$

$y = - \frac{3}{2} x - 7$