# How do you write an equation of a line passing through (5, -3), perpendicular to # y=6x + 9#?

##### 1 Answer

See a solution process below:

#### Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

Where

The slope of this line is:

Let's call the slope of a perpendicular line:

The formula for the slope of a perpendicular line is:

Substituting gives us:

We can now use the point-slope formula to find an equation of the line from the problem. The point-slope formula states:

Where

Substituting the slope we calculated and the values from the point in the problem gives:

If we want the equation in slope-intercept form we can solve for