Choose a point that the perpendicular line will pass through.

Rewrite in slope-intercept form.

The slope-intercept form is , where is the slope and is the y-intercept.

Combine and .

Rewrite in slope-intercept form.

Using the slope-intercept form, the slope is .

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Cancel the common factor of and .

Rewrite as .

Move the negative in front of the fraction.

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

Multiply by .

Multiply by .

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Simplify the equation and keep it in point-slope form.

Write in form.

Find Any Equation Perpendicular to the Line y=-1/3x-6