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

##### 1 Answer

Aug 7, 2016

#### Explanation:

Let the given point be

Given equation;

Write this in standard form of:

where m is the gradient (slope).

So for this line the gradient (m) is

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The gradient of the line perpendicular to this is

So

Thus the perpendicular line equation is:

We know that this line passes through the point

So