Find the Midpoint (-5.5,-6.1) , (-0.5,9.1)

$(- 5.5, - 6.1)$ , $(- 0.5, 9.1)$

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

$(\frac{- 5.5 - 0.5}{2}, \frac{- 6.1 + 9.1}{2})$

Step 3

Subtract $0.5$ from $- 5.5$ .

$(\frac{- 6}{2}, \frac{- 6.1 + 9.1}{2})$

Step 4

Divide $- 6$ by $2$ .

$(- 3, \frac{- 6.1 + 9.1}{2})$

Step 5

Add $- 6.1$ and $9.1$ .

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

Step 6

Cancel the common factor of $3$ and $2$ .

Rewrite $3$ as $1 (3)$ .

$(- 3, \frac{1 (3)}{2})$

Cancel the common factors.

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

$(- 3, \frac{1 \cdot 3}{1 \cdot 2})$

Cancel the common factor.

$(- 3, \frac{1 \cdot 3}{1 \cdot 2})$

Rewrite the expression.

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

Step 7