# What is the equation of the line perpendicular to #y =3x- 7# that contains (6, 8)?

##### 1 Answer

or

#### Explanation:

Because the line given in the problem is in the slope intercept form we know the slope of this line is

The slope-intercept form of a linear equation is:

Where

This is a weighted average problem.

Two perpendicular lines have a negative inverse slope of each other.

The line perpendicular to a line with slope

Therefore, the line we are looking for has a slope of

We can now use the point-slope formula to find the equation of the line we are looking for.

The point-slope formula states:

Where

We can substitute the slope we calculate and the point we were given to give the equation we are looking for:

If we want to put this in slope-intercept form we can solve for