Find the Midpoint (12,4) , (-8,2)

$(12, 4)$ , $(- 8, 2)$

Step 1

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Step 2

Substitute in the values for $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

$(\frac{12 - 8}{2}, \frac{4 + 2}{2})$

Step 3

Cancel the common factor of $12 - 8$ and $2$ .

Factor $2$ out of $12$ .

$(\frac{2 \cdot 6 - 8}{2}, \frac{4 + 2}{2})$

Factor $2$ out of $- 8$ .

$(\frac{2 \cdot 6 + 2 \cdot - 4}{2}, \frac{4 + 2}{2})$

Factor $2$ out of $2 \cdot 6 + 2 \cdot - 4$ .

$(\frac{2 \cdot (6 - 4)}{2}, \frac{4 + 2}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (6 - 4)}{2 (1)}, \frac{4 + 2}{2})$

Cancel the common factor.

$(\frac{2 \cdot (6 - 4)}{2 \cdot 1}, \frac{4 + 2}{2})$

Rewrite the expression.

$(\frac{6 - 4}{1}, \frac{4 + 2}{2})$

Divide $6 - 4$ by $1$ .

$(6 - 4, \frac{4 + 2}{2})$

Step 4

Subtract $4$ from $6$ .

$(2, \frac{4 + 2}{2})$

Step 5

Cancel the common factor of $4 + 2$ and $2$ .

Factor $2$ out of $4$ .

$(2, \frac{2 \cdot 2 + 2}{2})$

Factor $2$ out of $2$ .

$(2, \frac{2 \cdot 2 + 2 \cdot 1}{2})$

Factor $2$ out of $2 \cdot 2 + 2 \cdot 1$ .

$(2, \frac{2 \cdot (2 + 1)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(2, \frac{2 \cdot (2 + 1)}{2 (1)})$

Cancel the common factor.

$(2, \frac{2 \cdot (2 + 1)}{2 \cdot 1})$

Rewrite the expression.

$(2, \frac{2 + 1}{1})$

Divide $2 + 1$ by $1$ .

$(2, 2 + 1)$

Step 6

Add $2$ and $1$ .

$(2, 3)$

Step 7

Find the Midpoint (12,4) , (-8,2)

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