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

Choose a point that the perpendicular line will pass through.
Find the slope when .
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.
Simplify to find the slope of the perpendicular line.
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 .
Find the equation of the perpendicular line using the pointslope formula.
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
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