Algebra Examples

$(- 2, 7)$ and $(- 10, - 1)$

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

$(\frac{- 2 - 10}{2}, \frac{7 - 1}{2})$

Step 3

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

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Step 3.1

Factor $2$ out of $- 2$ .

$(\frac{2 \cdot - 1 - 10}{2}, \frac{7 - 1}{2})$

Step 3.2

Factor $2$ out of $- 10$ .

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

Step 3.3

Factor $2$ out of $2 \cdot - 1 + 2 \cdot - 5$ .

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

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

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

Step 3.4.2

Cancel the common factor.

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

Step 3.4.3

Rewrite the expression.

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

Step 3.4.4

Divide $- 1 - 5$ by $1$ .

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

Step 4

Subtract $5$ from $- 1$ .

$(- 6, \frac{7 - 1}{2})$

Step 5

Subtract $1$ from $7$ .

$(- 6, \frac{6}{2})$

Step 6

Divide $6$ by $2$ .

$(- 6, 3)$

Step 7