Precalculus Examples

Step 1
Use the slope-intercept form to find the slope.
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Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Using the slope-intercept form, the slope is .
Step 2
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Step 3
Find the equation of the perpendicular line using the point-slope formula.
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Step 3.1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 3.2
Simplify the equation and keep it in point-slope form.
Step 4
Write in form.
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Step 4.1
Solve for .
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Step 4.1.1
Add and .
Step 4.1.2
Simplify .
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Apply the distributive property.
Combine and .
Multiply .
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Multiply by .
Combine and .
Move the negative in front of the fraction.
Step 4.2
Reorder terms.
Step 4.3
Remove parentheses.
Step 5
Enter YOUR Problem
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