Finite Math Examples

Find the Equation Using Two Points f(1)=2 , f(0)=-1
,
Step 1
, which means is a point on the line. , which means is a point on the line, too.
Step 2
Find the slope of the line between and using , which is the change of over the change of .
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Step 2.1
Slope is equal to the change in over the change in , or rise over run.
Step 2.2
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 2.3
Substitute in the values of and into the equation to find the slope.
Step 2.4
Simplify.
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Step 2.4.1
Simplify the numerator.
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Step 2.4.1.1
Multiply by .
Step 2.4.1.2
Subtract from .
Step 2.4.2
Simplify the denominator.
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Step 2.4.2.1
Multiply by .
Step 2.4.2.2
Subtract from .
Step 2.4.3
Divide by .
Step 3
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 4
Simplify the equation and keep it in point-slope form.
Step 5
Solve for .
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Step 5.1
Simplify .
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Step 5.1.1
Rewrite.
Step 5.1.2
Simplify by adding zeros.
Step 5.1.3
Apply the distributive property.
Step 5.1.4
Multiply by .
Step 5.2
Move all terms not containing to the right side of the equation.
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Step 5.2.1
Add to both sides of the equation.
Step 5.2.2
Add and .
Step 6
Replace by .
Step 7