Algebra Examples

$(20, - 5)$ , $(- 4, - 2)$

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

$(\frac{20 - 4}{2}, \frac{- 5 - 2}{2})$

Step 3

Cancel the common factor of $20 - 4$ and $2$ .

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Factor $2$ out of $20$ .

$(\frac{2 \cdot 10 - 4}{2}, \frac{- 5 - 2}{2})$

Factor $2$ out of $- 4$ .

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

Factor $2$ out of $2 \cdot 10 + 2 \cdot - 2$ .

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

Cancel the common factors.

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Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $10 - 2$ by $1$ .

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

Step 4

Subtract $2$ from $10$ .

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

Step 5

Subtract $2$ from $- 5$ .

$(8, \frac{- 7}{2})$

Step 6

Move the negative in front of the fraction.

$(8, - \frac{7}{2})$

Step 7