Find the Midpoint (5,8) and (-1,-4)

$(5, 8)$ and $(- 1, - 4)$

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

$(\frac{5 - 1}{2}, \frac{8 - 4}{2})$

Step 3

Subtract $1$ from $5$ .

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

Step 4

Divide $4$ by $2$ .

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

Step 5

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

Factor $2$ out of $8$ .

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

Factor $2$ out of $- 4$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $4 - 2$ by $1$ .

$(2, 4 - 2)$

Step 6

Subtract $2$ from $4$ .

$(2, 2)$

Step 7