Find the Midpoint (-2,4) , (7,0)

$(- 2, 4)$ , $(7, 0)$

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

$(\frac{- 2 + 7}{2}, \frac{4 + 0}{2})$

Step 3

Add $- 2$ and $7$ .

$(\frac{5}{2}, \frac{4 + 0}{2})$

Step 4

Cancel the common factor of $4 + 0$ and $2$ .

Factor $2$ out of $4$ .

$(\frac{5}{2}, \frac{2 \cdot 2 + 0}{2})$

Factor $2$ out of $0$ .

$(\frac{5}{2}, \frac{2 \cdot 2 + 2 \cdot 0}{2})$

Factor $2$ out of $2 \cdot 2 + 2 \cdot 0$ .

$(\frac{5}{2}, \frac{2 \cdot (2 + 0)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{5}{2}, \frac{2 \cdot (2 + 0)}{2 (1)})$

Cancel the common factor.

$(\frac{5}{2}, \frac{2 \cdot (2 + 0)}{2 \cdot 1})$

Rewrite the expression.

$(\frac{5}{2}, \frac{2 + 0}{1})$

Divide $2 + 0$ by $1$ .

$(\frac{5}{2}, 2 + 0)$

Step 5

Add $2$ and $0$ .

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

Step 6