Find the Midpoint (16,-4) , (-2,-76)

$(16, - 4)$ , $(- 2, - 76)$

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

$(\frac{16 - 2}{2}, \frac{- 4 - 76}{2})$

Step 3

Cancel the common factor of $16 - 2$ and $2$ .

Factor $2$ out of $16$ .

$(\frac{2 \cdot 8 - 2}{2}, \frac{- 4 - 76}{2})$

Factor $2$ out of $- 2$ .

$(\frac{2 \cdot 8 + 2 \cdot - 1}{2}, \frac{- 4 - 76}{2})$

Factor $2$ out of $2 \cdot 8 + 2 \cdot - 1$ .

$(\frac{2 \cdot (8 - 1)}{2}, \frac{- 4 - 76}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (8 - 1)}{2 (1)}, \frac{- 4 - 76}{2})$

Cancel the common factor.

$(\frac{2 \cdot (8 - 1)}{2 \cdot 1}, \frac{- 4 - 76}{2})$

Rewrite the expression.

$(\frac{8 - 1}{1}, \frac{- 4 - 76}{2})$

Divide $8 - 1$ by $1$ .

$(8 - 1, \frac{- 4 - 76}{2})$

Step 4

Subtract $1$ from $8$ .

$(7, \frac{- 4 - 76}{2})$

Step 5

Cancel the common factor of $- 4 - 76$ and $2$ .

Factor $2$ out of $- 4$ .

$(7, \frac{2 \cdot - 2 - 76}{2})$

Factor $2$ out of $- 76$ .

$(7, \frac{2 \cdot - 2 + 2 \cdot - 38}{2})$

Factor $2$ out of $2 \cdot - 2 + 2 \cdot - 38$ .

$(7, \frac{2 \cdot (- 2 - 38)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(7, \frac{2 \cdot (- 2 - 38)}{2 (1)})$

Cancel the common factor.

$(7, \frac{2 \cdot (- 2 - 38)}{2 \cdot 1})$

Rewrite the expression.

$(7, \frac{- 2 - 38}{1})$

Divide $- 2 - 38$ by $1$ .

$(7, - 2 - 38)$

Step 6

Subtract $38$ from $- 2$ .

$(7, - 40)$

Step 7

Find the Midpoint (16,-4) , (-2,-76)

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