Find the Midpoint (5.3,-2.5) , (7.3,-12.5)

$(5.3, - 2.5)$ , $(7.3, - 12.5)$

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

$(\frac{5.3 + 7.3}{2}, \frac{- 2.5 - 12.5}{2})$

Step 3

Add $5.3$ and $7.3$ .

$(\frac{12.6}{2}, \frac{- 2.5 - 12.5}{2})$

Step 4

Divide $12.6$ by $2$ .

$(6.3, \frac{- 2.5 - 12.5}{2})$

Step 5

Subtract $12.5$ from $- 2.5$ .

$(6.3, \frac{- 15}{2})$

Step 6

Cancel the common factor of $- 15$ and $2$ .

Rewrite $- 15$ as $1 (- 15)$ .

$(6.3, \frac{1 (- 15)}{2})$

Cancel the common factors.

Rewrite $2$ as $1 (2)$ .

$(6.3, \frac{1 \cdot - 15}{1 \cdot 2})$

Cancel the common factor.

$(6.3, \frac{1 \cdot - 15}{1 \cdot 2})$

Rewrite the expression.

$(6.3, \frac{- 15}{2})$

Step 7

Move the negative in front of the fraction.

$(6.3, - \frac{15}{2})$

Step 8