Find the Midpoint (10,2) , (k,2)

$(10, 2)$ , $(k, 2)$

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

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

Step 3

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

Factor $2$ out of $2$ .

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

Factor $2$ out of $2$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $1 + 1$ by $1$ .

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

Step 4

Add $1$ and $1$ .

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