Find the Midpoint (4,7) and (10,3)

$(4, 7)$ and $(10, 3)$

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

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

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

$(\frac{4 + 10}{2}, \frac{7 + 3}{2})$

Cancel the common factor of $4 + 10$ and $2$ .

Factor $2$ out of $4$ .

$(\frac{2 \cdot 2 + 10}{2}, \frac{7 + 3}{2})$

Factor $2$ out of $10$ .

$(\frac{2 \cdot 2 + 2 \cdot 5}{2}, \frac{7 + 3}{2})$

Factor $2$ out of $2 \cdot 2 + 2 \cdot 5$ .

$(\frac{2 \cdot (2 + 5)}{2}, \frac{7 + 3}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (2 + 5)}{2 (1)}, \frac{7 + 3}{2})$

Cancel the common factor.

$(\frac{2 \cdot (2 + 5)}{2 \cdot 1}, \frac{7 + 3}{2})$

Rewrite the expression.

$(\frac{2 + 5}{1}, \frac{7 + 3}{2})$

Divide $2 + 5$ by $1$ .

$(2 + 5, \frac{7 + 3}{2})$

Add $2$ and $5$ .

$(7, \frac{7 + 3}{2})$

Add $7$ and $3$ .

$(7, \frac{10}{2})$

Divide $10$ by $2$ .

$(7, 5)$