Find the Midpoint (10,2) and (5,-7)

$(10, 2)$ and $(5, - 7)$

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

$(\frac{10 + 5}{2}, \frac{2 - 7}{2})$

Step 3

Add $10$ and $5$ .

$(\frac{15}{2}, \frac{2 - 7}{2})$

Step 4

Subtract $7$ from $2$ .

$(\frac{15}{2}, \frac{- 5}{2})$

Step 5

Move the negative in front of the fraction.

$(\frac{15}{2}, - \frac{5}{2})$

Step 6