Find the Midpoint (6,3) and (0,9)

$(6, 3)$ and $(0, 9)$

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

$(\frac{6 + 0}{2}, \frac{3 + 9}{2})$

Step 3

Cancel the common factor of $6 + 0$ and $2$ .

Factor $2$ out of $6$ .

$(\frac{2 \cdot 3 + 0}{2}, \frac{3 + 9}{2})$

Factor $2$ out of $0$ .

$(\frac{2 \cdot 3 + 2 \cdot 0}{2}, \frac{3 + 9}{2})$

Factor $2$ out of $2 \cdot 3 + 2 \cdot 0$ .

$(\frac{2 \cdot (3 + 0)}{2}, \frac{3 + 9}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (3 + 0)}{2 (1)}, \frac{3 + 9}{2})$

Cancel the common factor.

$(\frac{2 \cdot (3 + 0)}{2 \cdot 1}, \frac{3 + 9}{2})$

Rewrite the expression.

$(\frac{3 + 0}{1}, \frac{3 + 9}{2})$

Divide $3 + 0$ by $1$ .

$(3 + 0, \frac{3 + 9}{2})$

Step 4

Add $3$ and $0$ .

$(3, \frac{3 + 9}{2})$

Step 5

Add $3$ and $9$ .

$(3, \frac{12}{2})$

Step 6

Divide $12$ by $2$ .

$(3, 6)$

Step 7