Find the Midpoint (4,12) , (-6,14)

$(4, 12)$ , $(- 6, 14)$

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 $(x_{2}, y_{2})$ .

$(\frac{4 - 6}{2}, \frac{12 + 14}{2})$

Step 3

Cancel the common factor of $4 - 6$ and $2$ .

Factor $2$ out of $4$ .

$(\frac{2 \cdot 2 - 6}{2}, \frac{12 + 14}{2})$

Factor $2$ out of $- 6$ .

$(\frac{2 \cdot 2 + 2 \cdot - 3}{2}, \frac{12 + 14}{2})$

Factor $2$ out of $2 \cdot 2 + 2 \cdot - 3$ .

$(\frac{2 \cdot (2 - 3)}{2}, \frac{12 + 14}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (2 - 3)}{2 (1)}, \frac{12 + 14}{2})$

Cancel the common factor.

$(\frac{2 \cdot (2 - 3)}{2 \cdot 1}, \frac{12 + 14}{2})$

Rewrite the expression.

$(\frac{2 - 3}{1}, \frac{12 + 14}{2})$

Divide $2 - 3$ by $1$ .

$(2 - 3, \frac{12 + 14}{2})$

Step 4

Subtract $3$ from $2$ .

$(- 1, \frac{12 + 14}{2})$

Step 5

Cancel the common factor of $12 + 14$ and $2$ .

Factor $2$ out of $12$ .

$(- 1, \frac{2 \cdot 6 + 14}{2})$

Factor $2$ out of $14$ .

$(- 1, \frac{2 \cdot 6 + 2 \cdot 7}{2})$

Factor $2$ out of $2 \cdot 6 + 2 \cdot 7$ .

$(- 1, \frac{2 \cdot (6 + 7)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(- 1, \frac{2 \cdot (6 + 7)}{2 (1)})$

Cancel the common factor.

$(- 1, \frac{2 \cdot (6 + 7)}{2 \cdot 1})$

Rewrite the expression.

$(- 1, \frac{6 + 7}{1})$

Divide $6 + 7$ by $1$ .

$(- 1, 6 + 7)$

Step 6

Add $6$ and $7$ .

$(- 1, 13)$

Step 7

Find the Midpoint (4,12) , (-6,14)

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