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

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

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

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

Step 3

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

Factor $2$ out of $2$ .

$(\frac{2 \cdot 1 + 2}{2}, \frac{4 - 7}{2})$

Factor $2$ out of $2$ .

$(\frac{2 \cdot 1 + 2 \cdot 1}{2}, \frac{4 - 7}{2})$

Factor $2$ out of $2 \cdot 1 + 2 \cdot 1$ .

$(\frac{2 \cdot (1 + 1)}{2}, \frac{4 - 7}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (1 + 1)}{2 (1)}, \frac{4 - 7}{2})$

Cancel the common factor.

$(\frac{2 \cdot (1 + 1)}{2 \cdot 1}, \frac{4 - 7}{2})$

Rewrite the expression.

$(\frac{1 + 1}{1}, \frac{4 - 7}{2})$

Divide $1 + 1$ by $1$ .

$(1 + 1, \frac{4 - 7}{2})$

Step 4

Add $1$ and $1$ .

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

Step 5

Subtract $7$ from $4$ .

$(2, \frac{- 3}{2})$

Step 6

Move the negative in front of the fraction.

$(2, - \frac{3}{2})$

Step 7