Finite Math Examples

Find the Equation Using Two Points (2,0) , (8,-3)
,
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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Step 5.1
Simplify the numerator.
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Step 5.1.1
Multiply by .
Step 5.1.2
Add and .
Step 5.2
Simplify the denominator.
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Step 5.2.1
Multiply by .
Step 5.2.2
Subtract from .
Step 5.3
Reduce the expression by cancelling the common factors.
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Step 5.3.1
Cancel the common factor of and .
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Step 5.3.1.1
Factor out of .
Step 5.3.1.2
Cancel the common factors.
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Step 5.3.1.2.1
Factor out of .
Step 5.3.1.2.2
Cancel the common factor.
Step 5.3.1.2.3
Rewrite the expression.
Step 5.3.2
Move the negative in front of the fraction.
Step 6
Find the value of using the formula for the equation of a line.
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Step 6.1
Use the formula for the equation of a line to find .
Step 6.2
Substitute the value of into the equation.
Step 6.3
Substitute the value of into the equation.
Step 6.4
Substitute the value of into the equation.
Step 6.5
Find the value of .
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Step 6.5.1
Rewrite the equation as .
Step 6.5.2
Cancel the common factor of .
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Step 6.5.2.1
Move the leading negative in into the numerator.
Step 6.5.2.2
Cancel the common factor.
Step 6.5.2.3
Rewrite the expression.
Step 6.5.3
Add to both sides of the equation.
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