Algebra Examples

$(- \frac{7}{2}, \frac{3}{2})$ , $(- \frac{5}{2}, - \frac{11}{2})$

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

$(\frac{- \frac{7}{2} - \frac{5}{2}}{2}, \frac{\frac{3}{2} - \frac{11}{2}}{2})$

Step 3

Simplify the numerator.

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Step 3.1

Combine the numerators over the common denominator.

$(\frac{\frac{- 7 - 5}{2}}{2}, \frac{\frac{3}{2} - \frac{11}{2}}{2})$

Step 3.2

Subtract $5$ from $- 7$ .

$(\frac{\frac{- 12}{2}}{2}, \frac{\frac{3}{2} - \frac{11}{2}}{2})$

Step 3.3

Divide $- 12$ by $2$ .

$(\frac{- 6}{2}, \frac{\frac{3}{2} - \frac{11}{2}}{2})$

Step 4

Divide $- 6$ by $2$ .

$(- 3, \frac{\frac{3}{2} - \frac{11}{2}}{2})$

Step 5

Simplify the numerator.

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Step 5.1

Combine the numerators over the common denominator.

$(- 3, \frac{\frac{3 - 11}{2}}{2})$

Step 5.2

Subtract $11$ from $3$ .

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

Step 5.3

Divide $- 8$ by $2$ .

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

Step 6

Divide $- 4$ by $2$ .

$(- 3, - 2)$

Step 7