Find the Midpoint (0,0) , (22,22)

$(0, 0)$ , $(22, 22)$

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

$(\frac{0 + 22}{2}, \frac{0 + 22}{2})$

Step 3

Cancel the common factor of $0 + 22$ and $2$ .

Factor $2$ out of $0$ .

$(\frac{2 \cdot 0 + 22}{2}, \frac{0 + 22}{2})$

Factor $2$ out of $22$ .

$(\frac{2 \cdot 0 + 2 \cdot 11}{2}, \frac{0 + 22}{2})$

Factor $2$ out of $2 \cdot 0 + 2 \cdot 11$ .

$(\frac{2 \cdot (0 + 11)}{2}, \frac{0 + 22}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (0 + 11)}{2 (1)}, \frac{0 + 22}{2})$

Cancel the common factor.

$(\frac{2 \cdot (0 + 11)}{2 \cdot 1}, \frac{0 + 22}{2})$

Rewrite the expression.

$(\frac{0 + 11}{1}, \frac{0 + 22}{2})$

Divide $0 + 11$ by $1$ .

$(0 + 11, \frac{0 + 22}{2})$

Step 4

Add $0$ and $11$ .

$(11, \frac{0 + 22}{2})$

Step 5

Cancel the common factor of $0 + 22$ and $2$ .

Factor $2$ out of $0$ .

$(11, \frac{2 \cdot 0 + 22}{2})$

Factor $2$ out of $22$ .

$(11, \frac{2 \cdot 0 + 2 \cdot 11}{2})$

Factor $2$ out of $2 \cdot 0 + 2 \cdot 11$ .

$(11, \frac{2 \cdot (0 + 11)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(11, \frac{2 \cdot (0 + 11)}{2 (1)})$

Cancel the common factor.

$(11, \frac{2 \cdot (0 + 11)}{2 \cdot 1})$

Rewrite the expression.

$(11, \frac{0 + 11}{1})$

Divide $0 + 11$ by $1$ .

$(11, 0 + 11)$

Step 6

Add $0$ and $11$ .

$(11, 11)$

Step 7

Find the Midpoint (0,0) , (22,22)

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