Precalculus Examples

Find the Equation Using Two Points
,
Step 1
Use to calculate the equation of the line, where represents the slope and represents the y-intercept.
To calculate the equation of the line, use the format.
Step 2
Slope is equal to the change in over the change in , or rise over run.
Step 3
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 4
Substitute in the values of and into the equation to find the slope.
Step 5
Finding the slope .
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Simplify the numerator.
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Multiply by .
Subtract from .
Simplify the denominator.
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Multiply by .
Add and .
Divide by .
Step 6
Find the value of using the formula for the equation of a line.
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Use the formula for the equation of a line to find .
Substitute the value of into the equation.
Substitute the value of into the equation.
Substitute the value of into the equation.
Find the value of .
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Rewrite the equation as .
Simplify .
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Multiply by .
Add and .
Step 7
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
Step 8
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