Precalculus Examples

Find the Start Point Given Mid (1,4) and End (7,-4)
,
Step 1
The midpoint formula is .
Step 2
Set the equal to the coordinate.
Step 3
Solve for to get .
Step 4
Substitute the values for and in .
Step 5
Simplify the right side of .
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Step 5.1
Simplify each term.
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Step 5.1.1
Multiply by .
Step 5.1.2
Multiply by .
Step 5.2
Subtract from .
Step 6
Set the equal to the coordinate.
Step 7
Solve for .
Step 8
Substitute the values for and in .
Step 9
Simplify the right side of .
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Step 9.1
Simplify each term.
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Step 9.1.1
Multiply by .
Step 9.1.2
Multiply by .
Step 9.2
Add and .
Step 10
The start point is .
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