Find the Midpoint (6,-4) , (18,10)

$(6, - 4)$ , $(18, 10)$

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

$(\frac{6 + 18}{2}, \frac{- 4 + 10}{2})$

Step 3

Cancel the common factor of $6 + 18$ and $2$ .

Factor $2$ out of $6$ .

$(\frac{2 \cdot 3 + 18}{2}, \frac{- 4 + 10}{2})$

Factor $2$ out of $18$ .

$(\frac{2 \cdot 3 + 2 \cdot 9}{2}, \frac{- 4 + 10}{2})$

Factor $2$ out of $2 \cdot 3 + 2 \cdot 9$ .

$(\frac{2 \cdot (3 + 9)}{2}, \frac{- 4 + 10}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (3 + 9)}{2 (1)}, \frac{- 4 + 10}{2})$

Cancel the common factor.

$(\frac{2 \cdot (3 + 9)}{2 \cdot 1}, \frac{- 4 + 10}{2})$

Rewrite the expression.

$(\frac{3 + 9}{1}, \frac{- 4 + 10}{2})$

Divide $3 + 9$ by $1$ .

$(3 + 9, \frac{- 4 + 10}{2})$

Step 4

Add $3$ and $9$ .

$(12, \frac{- 4 + 10}{2})$

Step 5

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

Factor $2$ out of $- 4$ .

$(12, \frac{2 \cdot - 2 + 10}{2})$

Factor $2$ out of $10$ .

$(12, \frac{2 \cdot - 2 + 2 \cdot 5}{2})$

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

$(12, \frac{2 \cdot (- 2 + 5)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(12, \frac{2 \cdot (- 2 + 5)}{2 (1)})$

Cancel the common factor.

$(12, \frac{2 \cdot (- 2 + 5)}{2 \cdot 1})$

Rewrite the expression.

$(12, \frac{- 2 + 5}{1})$

Divide $- 2 + 5$ by $1$ .

$(12, - 2 + 5)$

Step 6

Add $- 2$ and $5$ .

$(12, 3)$

Step 7

Find the Midpoint (6,-4) , (18,10)

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