# How do you write the equation that represents the line perpendicular to #y=-3x +4# and passing through the point (-1,1)?

##### 2 Answers

#### Answer:

#### Explanation:

Step 1) Because this is already solved for

Therefore the slope of the perpendicular line is

Step 2) Use the point slope for to find the perpendicular equation:

#### Answer:

#### Explanation:

Any linear equation of the form

has a slope of

Any line perpendicular to a line with slope

has a slope

A line with slope

can be written in *slope-point* form as:

Therefore the line perpendicular to

can be written as:

While this is a perfectly valid answer to the given question, we would normally convert this into standard form as:

or *slope-vertex* form (as was the initial equation):