Precalculus Examples

Find Any Equation Perpendicular to the Line
Step 1
Choose a point that the perpendicular line will pass through.
Step 2
Use the slope-intercept form to find the slope.
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Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Using the slope-intercept form, the slope is .
Step 3
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Step 4
Find the equation of the perpendicular line using the point-slope formula.
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Step 4.1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 4.2
Simplify the equation and keep it in point-slope form.
Step 5
Write in form.
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Step 5.1
Solve for .
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Step 5.1.1
Add and .
Step 5.1.2
Simplify .
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Add and .
Combine and .
Step 5.2
Reorder terms.
Step 5.3
Remove parentheses.
Step 6
Enter YOUR Problem
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