Find the Midpoint (5,2) , (3,0)

$(5, 2)$ , $(3, 0)$

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

$(\frac{5 + 3}{2}, \frac{2 + 0}{2})$

Step 3

Add $5$ and $3$ .

$(\frac{8}{2}, \frac{2 + 0}{2})$

Step 4

Divide $8$ by $2$ .

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

Step 5

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

Factor $2$ out of $2$ .

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

Factor $2$ out of $0$ .

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

Factor $2$ out of $2 \cdot 1 + 2 \cdot 0$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$(4, \frac{1 + 0}{1})$

Divide $1 + 0$ by $1$ .

$(4, 1 + 0)$

Step 6

Add $1$ and $0$ .

$(4, 1)$

Step 7