Find the Midpoint (6,-4) and (-2,0)

$(6, - 4)$ and $(- 2, 0)$

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

$(\frac{6 - 2}{2}, \frac{- 4 + 0}{2})$

Step 3

Cancel the common factor of $6 - 2$ and $2$ .

Factor $2$ out of $6$ .

$(\frac{2 \cdot 3 - 2}{2}, \frac{- 4 + 0}{2})$

Factor $2$ out of $- 2$ .

$(\frac{2 \cdot 3 + 2 \cdot - 1}{2}, \frac{- 4 + 0}{2})$

Factor $2$ out of $2 \cdot 3 + 2 \cdot - 1$ .

$(\frac{2 \cdot (3 - 1)}{2}, \frac{- 4 + 0}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (3 - 1)}{2 (1)}, \frac{- 4 + 0}{2})$

Cancel the common factor.

$(\frac{2 \cdot (3 - 1)}{2 \cdot 1}, \frac{- 4 + 0}{2})$

Rewrite the expression.

$(\frac{3 - 1}{1}, \frac{- 4 + 0}{2})$

Divide $3 - 1$ by $1$ .

$(3 - 1, \frac{- 4 + 0}{2})$

Step 4

Subtract $1$ from $3$ .

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

Step 5

Cancel the common factor of $- 4 + 0$ and $2$ .

Factor $2$ out of $- 4$ .

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

Factor $2$ out of $0$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 2 + 0$ by $1$ .

$(2, - 2 + 0)$

Step 6

Add $- 2$ and $0$ .

$(2, - 2)$

Step 7

Find the Midpoint (6,-4) and (-2,0)

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