Find the Midpoint (2,4) , (4,-6)

$(2, 4)$ , $(4, - 6)$

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

$(\frac{2 + 4}{2}, \frac{4 - 6}{2})$

Step 3

Cancel the common factor of $2 + 4$ and $2$ .

Factor $2$ out of $2$ .

$(\frac{2 \cdot 1 + 4}{2}, \frac{4 - 6}{2})$

Factor $2$ out of $4$ .

$(\frac{2 \cdot 1 + 2 \cdot 2}{2}, \frac{4 - 6}{2})$

Factor $2$ out of $2 \cdot 1 + 2 \cdot 2$ .

$(\frac{2 \cdot (1 + 2)}{2}, \frac{4 - 6}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (1 + 2)}{2 (1)}, \frac{4 - 6}{2})$

Cancel the common factor.

$(\frac{2 \cdot (1 + 2)}{2 \cdot 1}, \frac{4 - 6}{2})$

Rewrite the expression.

$(\frac{1 + 2}{1}, \frac{4 - 6}{2})$

Divide $1 + 2$ by $1$ .

$(1 + 2, \frac{4 - 6}{2})$

Step 4

Add $1$ and $2$ .

$(3, \frac{4 - 6}{2})$

Step 5

Cancel the common factor of $4 - 6$ and $2$ .

Factor $2$ out of $4$ .

$(3, \frac{2 \cdot 2 - 6}{2})$

Factor $2$ out of $- 6$ .

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

Factor $2$ out of $2 \cdot 2 + 2 \cdot - 3$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 - 3$ by $1$ .

$(3, 2 - 3)$

Step 6

Subtract $3$ from $2$ .

$(3, - 1)$

Step 7

Find the Midpoint (2,4) , (4,-6)

Related Questions

Support LCMGCF.com by disabling your adblocker.