Algebra Examples

$(- 5, 4)$ , $(3, - 8)$

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

$(\frac{- 5 + 3}{2}, \frac{4 - 8}{2})$

Step 3

Add $- 5$ and $3$ .

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

Step 4

Divide $- 2$ by $2$ .

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

Step 5

Cancel the common factor of $4 - 8$ and $2$ .

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Step 5.1

Factor $2$ out of $4$ .

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

Step 5.2

Factor $2$ out of $- 8$ .

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

Step 5.3

Factor $2$ out of $2 \cdot 2 + 2 \cdot - 4$ .

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

Step 5.4

Cancel the common factors.

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Step 5.4.1

Factor $2$ out of $2$ .

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

Step 5.4.2

Cancel the common factor.

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

Step 5.4.3

Rewrite the expression.

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

Step 5.4.4

Divide $2 - 4$ by $1$ .

$(- 1, 2 - 4)$

Step 6

Subtract $4$ from $2$ .

$(- 1, - 2)$

Step 7