Precalculus Examples

$(4, - 3)$ , $(6, 1)$

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

$(\frac{4 + 6}{2}, \frac{- 3 + 1}{2})$

Step 3

Cancel the common factor of $4 + 6$ and $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$(\frac{2 \cdot 2 + 6}{2}, \frac{- 3 + 1}{2})$

Step 3.2

Factor $2$ out of $6$ .

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

Step 3.3

Factor $2$ out of $2 \cdot 2 + 2 \cdot 3$ .

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

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

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

Step 3.4.2

Cancel the common factor.

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

Step 3.4.3

Rewrite the expression.

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

Step 3.4.4

Divide $2 + 3$ by $1$ .

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

Step 4

Add $2$ and $3$ .

$(5, \frac{- 3 + 1}{2})$

Step 5

Add $- 3$ and $1$ .

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

Step 6

Divide $- 2$ by $2$ .

$(5, - 1)$

Step 7