Find the Midpoint (14,-8) , (12,-1)

$(14, - 8)$ , $(12, - 1)$

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

$(\frac{14 + 12}{2}, \frac{- 8 - 1}{2})$

Step 3

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

Factor $2$ out of $14$ .

$(\frac{2 \cdot 7 + 12}{2}, \frac{- 8 - 1}{2})$

Factor $2$ out of $12$ .

$(\frac{2 \cdot 7 + 2 \cdot 6}{2}, \frac{- 8 - 1}{2})$

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

$(\frac{2 \cdot (7 + 6)}{2}, \frac{- 8 - 1}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (7 + 6)}{2 (1)}, \frac{- 8 - 1}{2})$

Cancel the common factor.

$(\frac{2 \cdot (7 + 6)}{2 \cdot 1}, \frac{- 8 - 1}{2})$

Rewrite the expression.

$(\frac{7 + 6}{1}, \frac{- 8 - 1}{2})$

Divide $7 + 6$ by $1$ .

$(7 + 6, \frac{- 8 - 1}{2})$

Step 4

Add $7$ and $6$ .

$(13, \frac{- 8 - 1}{2})$

Step 5

Subtract $1$ from $- 8$ .

$(13, \frac{- 9}{2})$

Step 6

Move the negative in front of the fraction.

$(13, - \frac{9}{2})$

Step 7