Trigonometry Examples

$(- 8, - 2)$ , $(7, 8)$

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

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

Step 3

Add $- 8$ and $7$ .

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

Step 4

Move the negative in front of the fraction.

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

Step 5

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

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Step 5.1

Factor $2$ out of $- 2$ .

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

Step 5.2

Factor $2$ out of $8$ .

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

Step 5.3

Factor $2$ out of $2 \cdot - 1 + 2 \cdot 4$ .

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

Step 5.4

Cancel the common factors.

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Step 5.4.1

Factor $2$ out of $2$ .

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

Step 5.4.2

Cancel the common factor.

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

Step 5.4.3

Rewrite the expression.

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

Step 5.4.4

Divide $- 1 + 4$ by $1$ .

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

Step 6

Add $- 1$ and $4$ .

$(- \frac{1}{2}, 3)$

Step 7