# What is the equation of the line perpendicular to y=2/9x  that passes through  (-2,9) ?

May 21, 2018

$y = - \frac{9}{2} x$

#### Explanation:

If two lines are perpendicular, when you multiply the gradients together the answer is -1

The second line is $y = - \frac{9}{2} x + c$

As it passes through (-2,9)

$\implies 9 = - \frac{9}{2} \times - 2 + c$

$c = 0$