Precalculus Examples

,
Step 1
Find the value of the slope.
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Step 1.1
Slope is equal to the change in over the change in , or rise over run.
Step 1.2
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 1.3
Substitute in the values of and into the equation to find the slope.
Step 1.4
Simplify.
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Step 1.4.1
Simplify the numerator.
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Step 1.4.1.1
Multiply by .
Step 1.4.1.2
Subtract from .
Step 1.4.2
Simplify the denominator.
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Step 1.4.2.1
Multiply by .
Step 1.4.2.2
Add and .
Step 1.4.3
Move the negative in front of the fraction.
Step 2
Find the value of the y-intercept.
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Step 2.1
Substitute the value of into the slope-intercept form of the equation, .
Step 2.2
Substitute the value of into the slope-intercept form of the equation, .
Step 2.3
Substitute the value of into the slope-intercept form of the equation, .
Step 2.4
Rewrite the equation as .
Step 2.5
Simplify .
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Step 2.5.1
Multiply .
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Step 2.5.1.1
Multiply by .
Step 2.5.1.2
Multiply by .
Step 2.5.2
Add and .
Step 3
List the slope and y-intercept.
Slope:
y-intercept:
Step 4
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