Finite Math Examples

Find the Slope (1/6,-1/3) , (5/6,3)
,
Step 1
Slope is equal to the change in over the change in , or rise over run.
Step 2
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Step 3
Substitute in the values of and into the equation to find the slope.
Step 4
Simplify.
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Step 4.1
Multiply the numerator and denominator of the fraction by .
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Step 4.1.1
Multiply by .
Step 4.1.2
Combine.
Step 4.2
Apply the distributive property.
Step 4.3
Simplify by cancelling.
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Step 4.3.1
Cancel the common factor of .
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Step 4.3.1.1
Cancel the common factor.
Step 4.3.1.2
Rewrite the expression.
Step 4.3.2
Cancel the common factor of .
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Step 4.3.2.1
Move the leading negative in into the numerator.
Step 4.3.2.2
Cancel the common factor.
Step 4.3.2.3
Rewrite the expression.
Step 4.4
Simplify the numerator.
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Step 4.4.1
Multiply by .
Step 4.4.2
Multiply .
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Step 4.4.2.1
Multiply by .
Step 4.4.2.2
Multiply by .
Step 4.4.3
Cancel the common factor of .
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Step 4.4.3.1
Factor out of .
Step 4.4.3.2
Cancel the common factor.
Step 4.4.3.3
Rewrite the expression.
Step 4.4.4
Add and .
Step 4.5
Simplify the expression.
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Step 4.5.1
Subtract from .
Step 4.5.2
Divide by .
Step 5