Find the Midpoint (10,20) , (15,20)

$(10, 20)$ , $(15, 20)$

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

$(\frac{10 + 15}{2}, \frac{20 + 20}{2})$

Step 3

Add $10$ and $15$ .

$(\frac{25}{2}, \frac{20 + 20}{2})$

Step 4

Cancel the common factor of $20 + 20$ and $2$ .

Factor $2$ out of $20$ .

$(\frac{25}{2}, \frac{2 \cdot 10 + 20}{2})$

Factor $2$ out of $20$ .

$(\frac{25}{2}, \frac{2 \cdot 10 + 2 \cdot 10}{2})$

Factor $2$ out of $2 \cdot 10 + 2 \cdot 10$ .

$(\frac{25}{2}, \frac{2 \cdot (10 + 10)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{25}{2}, \frac{2 \cdot (10 + 10)}{2 (1)})$

Cancel the common factor.

$(\frac{25}{2}, \frac{2 \cdot (10 + 10)}{2 \cdot 1})$

Rewrite the expression.

$(\frac{25}{2}, \frac{10 + 10}{1})$

Divide $10 + 10$ by $1$ .

$(\frac{25}{2}, 10 + 10)$

Step 5

Add $10$ and $10$ .

$(\frac{25}{2}, 20)$

Step 6