Precalculus Examples

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Use the slope-intercept form to find the slope.
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The slope-intercept form is , where is the slope and is the y-intercept.
Using the slope-intercept form, the slope is .
The equation of a perpendicular line to must have a slope that is the negative reciprocal of the original slope.
Simplify to find the slope of the perpendicular line.
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Divide by .
Multiply by .
Find the equation of the perpendicular line using the point-slope formula.
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Using the point-slope form , plug in , , and .
Solve for .
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Multiply by .
Simplify .
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Multiply by .
Apply the distributive property.
Simplify the expression.
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Rewrite as .
Multiply by .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
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