Algebra 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
Simplify to find the slope of the perpendicular line.
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Step 4.1
Cancel the common factor of .
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Step 4.1.1
Cancel the common factor.
Step 4.1.2
Rewrite the expression.
Step 4.2
Multiply by .
Step 5
Find the equation of the perpendicular line using the point-slope formula.
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Step 5.1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 5.2
Simplify the equation and keep it in point-slope form.
Step 6
Solve for .
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Step 6.1
Add and .
Step 6.2
Simplify .
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Step 6.2.1
Add and .
Step 6.2.2
Rewrite as .
Step 7
Enter YOUR Problem
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