Find the Midpoint (8,10) and (1,4)

$(8, 10)$ and $(1, 4)$

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

$(\frac{8 + 1}{2}, \frac{10 + 4}{2})$

Step 3

Add $8$ and $1$ .

$(\frac{9}{2}, \frac{10 + 4}{2})$

Step 4

Cancel the common factor of $10 + 4$ and $2$ .

Factor $2$ out of $10$ .

$(\frac{9}{2}, \frac{2 \cdot 5 + 4}{2})$

Factor $2$ out of $4$ .

$(\frac{9}{2}, \frac{2 \cdot 5 + 2 \cdot 2}{2})$

Factor $2$ out of $2 \cdot 5 + 2 \cdot 2$ .

$(\frac{9}{2}, \frac{2 \cdot (5 + 2)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{9}{2}, \frac{2 \cdot (5 + 2)}{2 (1)})$

Cancel the common factor.

$(\frac{9}{2}, \frac{2 \cdot (5 + 2)}{2 \cdot 1})$

Rewrite the expression.

$(\frac{9}{2}, \frac{5 + 2}{1})$

Divide $5 + 2$ by $1$ .

$(\frac{9}{2}, 5 + 2)$

Step 5

Add $5$ and $2$ .

$(\frac{9}{2}, 7)$

Step 6