# How do you write an equation of a line through (-3,1) and perpendicular to y= -3x+7?

##### 1 Answer

Aug 27, 2016

#### Explanation:

The gradient of

The gradient of a line perpendicular is

To prove this to yourself draw a line with gradient -3 on squared paper and the draw a line at right angles

So the line of the perpendicular will be in the form

But we know it goes through (-3,1)

So substituting those values gives

1=-1+c

c=2