# Precalculus Examples

,

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

Step 5.1

Simplify each term.

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

Step 9.1

Simplify each term.

Step 9.1.1

Multiply by .

Step 9.1.2

Multiply by .

Step 9.2

Add and .

Step 10

The start point is .