Find the Midpoint c=(-3,4) d=(5,-8)

$c = (- 3, 4)$ $d = (5, - 8)$

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

$(\frac{- 3 + 5}{2}, \frac{4 - 8}{2})$

Step 3

Add $- 3$ and $5$ .

$(\frac{2}{2}, \frac{4 - 8}{2})$

Step 4

Divide $2$ by $2$ .

$(1, \frac{4 - 8}{2})$

Step 5

Cancel the common factor of $4 - 8$ and $2$ .

Factor $2$ out of $4$ .

$(1, \frac{2 \cdot 2 - 8}{2})$

Factor $2$ out of $- 8$ .

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

Factor $2$ out of $2 \cdot 2 + 2 \cdot - 4$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 - 4$ by $1$ .

$(1, 2 - 4)$

Step 6

Subtract $4$ from $2$ .

$(1, - 2)$

Step 7