Find the Midpoint (4,-10) and (10,0)

$(4, - 10)$ and $(10, 0)$

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

$(\frac{4 + 10}{2}, \frac{- 10 + 0}{2})$

Step 3

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

Factor $2$ out of $4$ .

$(\frac{2 \cdot 2 + 10}{2}, \frac{- 10 + 0}{2})$

Factor $2$ out of $10$ .

$(\frac{2 \cdot 2 + 2 \cdot 5}{2}, \frac{- 10 + 0}{2})$

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

$(\frac{2 \cdot (2 + 5)}{2}, \frac{- 10 + 0}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (2 + 5)}{2 (1)}, \frac{- 10 + 0}{2})$

Cancel the common factor.

$(\frac{2 \cdot (2 + 5)}{2 \cdot 1}, \frac{- 10 + 0}{2})$

Rewrite the expression.

$(\frac{2 + 5}{1}, \frac{- 10 + 0}{2})$

Divide $2 + 5$ by $1$ .

$(2 + 5, \frac{- 10 + 0}{2})$

Step 4

Add $2$ and $5$ .

$(7, \frac{- 10 + 0}{2})$

Step 5

Cancel the common factor of $- 10 + 0$ and $2$ .

Factor $2$ out of $- 10$ .

$(7, \frac{2 \cdot - 5 + 0}{2})$

Factor $2$ out of $0$ .

$(7, \frac{2 \cdot - 5 + 2 \cdot 0}{2})$

Factor $2$ out of $2 \cdot - 5 + 2 \cdot 0$ .

$(7, \frac{2 \cdot (- 5 + 0)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(7, \frac{2 \cdot (- 5 + 0)}{2 (1)})$

Cancel the common factor.

$(7, \frac{2 \cdot (- 5 + 0)}{2 \cdot 1})$

Rewrite the expression.

$(7, \frac{- 5 + 0}{1})$

Divide $- 5 + 0$ by $1$ .

$(7, - 5 + 0)$

Step 6

Add $- 5$ and $0$ .

$(7, - 5)$

Step 7

Find the Midpoint (4,-10) and (10,0)

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