Algebra Examples

Find the Slope of a Perpendicular Line y=-3/2x+4
Step 1
Rewrite in slope-intercept form.
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Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Simplify the right side.
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Step 1.2.1
Simplify each term.
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Step 1.2.1.1
Move the negative in front of the fraction.
Step 1.2.1.2
Combine and .
Step 1.2.1.3
Move to the left of .
Step 1.3
Write in form.
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Step 1.3.1
Reorder terms.
Step 1.3.2
Remove parentheses.
Step 2
Using the slope-intercept form, the slope is .
Step 3
The equation of a perpendicular line to must have a slope that is the negative reciprocal of the original slope.
Step 4
Simplify the result.
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Step 4.1
Cancel the common factor of and .
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Step 4.1.1
Rewrite as .
Step 4.1.2
Move the negative in front of the fraction.
Step 4.2
Multiply the numerator by the reciprocal of the denominator.
Step 4.3
Multiply by .
Step 4.4
Multiply .
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Step 4.4.1
Multiply by .
Step 4.4.2
Multiply by .
Step 5