# How do you write an equation of a line that contains the given point (-5,5) and is perpendicular to the given line y=-5x+9?

##### 1 Answer

#### Answer:

or

#### Explanation:

To find the equation of the line perpendicular to the given line and going through the given point we will use the point-slope formula. We have been given a point so what we are missing is the slope.

The given line is in slope-intercept form.

The slope-intercept form of a linear equation is:

Where

Therefore we know the slope of the given line,

A perpendicular line will have a slope which is the negative inverse of this line, or

We can now use the point-slope formula to write the equation for the perpendicular line.

The point-slope formula states:

Where

Substituting the point we were given and the slope we calculated gives:

or, we can solve for