Basic Math Examples

$(- \frac{9}{2}, \frac{1}{2})$ , $(- \frac{1}{2}, - \frac{7}{2})$

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

$(\frac{- \frac{9}{2} - \frac{1}{2}}{2}, \frac{\frac{1}{2} - \frac{7}{2}}{2})$

Step 3

Simplify the numerator.

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Step 3.1

Combine the numerators over the common denominator.

$(\frac{\frac{- 9 - 1}{2}}{2}, \frac{\frac{1}{2} - \frac{7}{2}}{2})$

Step 3.2

Subtract $1$ from $- 9$ .

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

Step 3.3

Divide $- 10$ by $2$ .

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

Step 4

Move the negative in front of the fraction.

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

Step 5

Simplify the numerator.

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Step 5.1

Combine the numerators over the common denominator.

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

Step 5.2

Subtract $7$ from $1$ .

$(- \frac{5}{2}, \frac{\frac{- 6}{2}}{2})$

Step 5.3

Divide $- 6$ by $2$ .

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

Step 6

Move the negative in front of the fraction.

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

Step 7