Algebra Examples

Find the Perpendicular Line (3,5) , m=5
,
Step 1
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Step 2
Find the equation of the perpendicular line using the point-slope formula.
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Step 2.1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 2.2
Simplify the equation and keep it in point-slope form.
Step 3
Write in form.
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Step 3.1
Solve for .
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Rewrite.
Step 3.1.1.2
Simplify by adding zeros.
Step 3.1.1.3
Apply the distributive property.
Step 3.1.1.4
Combine and .
Step 3.1.1.5
Multiply .
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Step 3.1.1.5.1
Multiply by .
Step 3.1.1.5.2
Combine and .
Step 3.1.2
Move all terms not containing to the right side of the equation.
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Step 3.1.2.1
Add to both sides of the equation.
Step 3.1.2.2
To write as a fraction with a common denominator, multiply by .
Step 3.1.2.3
Combine and .
Step 3.1.2.4
Combine the numerators over the common denominator.
Step 3.1.2.5
Simplify the numerator.
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Step 3.1.2.5.1
Multiply by .
Step 3.1.2.5.2
Add and .
Step 3.2
Reorder terms.
Step 3.3
Remove parentheses.
Step 4