Finite Math Examples

$(- 3, 4)$ , $(5, 2)$

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

$(\frac{- 3 + 5}{2}, \frac{4 + 2}{2})$

Step 3

Add $- 3$ and $5$ .

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

Step 4

Divide $2$ by $2$ .

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

Step 5

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

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Step 5.1

Factor $2$ out of $4$ .

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

Step 5.2

Factor $2$ out of $2$ .

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

Step 5.3

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

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

Step 5.4

Cancel the common factors.

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Step 5.4.1

Factor $2$ out of $2$ .

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

Step 5.4.2

Cancel the common factor.

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

Step 5.4.3

Rewrite the expression.

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

Step 5.4.4

Divide $2 + 1$ by $1$ .

$(1, 2 + 1)$

Step 6

Add $2$ and $1$ .

$(1, 3)$

Step 7