Find the Midpoint (0,4) , (-4,-12)

$(0, 4)$ , $(- 4, - 12)$

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

$(\frac{0 - 4}{2}, \frac{4 - 12}{2})$

Step 3

Cancel the common factor of $0 - 4$ and $2$ .

Factor $2$ out of $0$ .

$(\frac{2 \cdot 0 - 4}{2}, \frac{4 - 12}{2})$

Factor $2$ out of $- 4$ .

$(\frac{2 \cdot 0 + 2 \cdot - 2}{2}, \frac{4 - 12}{2})$

Factor $2$ out of $2 \cdot 0 + 2 \cdot - 2$ .

$(\frac{2 \cdot (0 - 2)}{2}, \frac{4 - 12}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (0 - 2)}{2 (1)}, \frac{4 - 12}{2})$

Cancel the common factor.

$(\frac{2 \cdot (0 - 2)}{2 \cdot 1}, \frac{4 - 12}{2})$

Rewrite the expression.

$(\frac{0 - 2}{1}, \frac{4 - 12}{2})$

Divide $0 - 2$ by $1$ .

$(0 - 2, \frac{4 - 12}{2})$

Step 4

Subtract $2$ from $0$ .

$(- 2, \frac{4 - 12}{2})$

Step 5

Cancel the common factor of $4 - 12$ and $2$ .

Factor $2$ out of $4$ .

$(- 2, \frac{2 \cdot 2 - 12}{2})$

Factor $2$ out of $- 12$ .

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

Factor $2$ out of $2 \cdot 2 + 2 \cdot - 6$ .

$(- 2, \frac{2 \cdot (2 - 6)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(- 2, \frac{2 \cdot (2 - 6)}{2 (1)})$

Cancel the common factor.

$(- 2, \frac{2 \cdot (2 - 6)}{2 \cdot 1})$

Rewrite the expression.

$(- 2, \frac{2 - 6}{1})$

Divide $2 - 6$ by $1$ .

$(- 2, 2 - 6)$

Step 6

Subtract $6$ from $2$ .

$(- 2, - 4)$

Step 7

Find the Midpoint (0,4) , (-4,-12)

Related Questions

Support LCMGCF.com by disabling your adblocker.