Finite Math Examples

$(9, 12)$ , $(21, 18)$

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

$(\frac{9 + 21}{2}, \frac{12 + 18}{2})$

Step 3

Add $9$ and $21$ .

$(\frac{30}{2}, \frac{12 + 18}{2})$

Step 4

Divide $30$ by $2$ .

$(15, \frac{12 + 18}{2})$

Step 5

Cancel the common factor of $12 + 18$ and $2$ .

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Step 5.1

Factor $2$ out of $12$ .

$(15, \frac{2 \cdot 6 + 18}{2})$

Step 5.2

Factor $2$ out of $18$ .

$(15, \frac{2 \cdot 6 + 2 \cdot 9}{2})$

Step 5.3

Factor $2$ out of $2 \cdot 6 + 2 \cdot 9$ .

$(15, \frac{2 \cdot (6 + 9)}{2})$

Step 5.4

Cancel the common factors.

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Step 5.4.1

Factor $2$ out of $2$ .

$(15, \frac{2 \cdot (6 + 9)}{2 (1)})$

Step 5.4.2

Cancel the common factor.

$(15, \frac{2 \cdot (6 + 9)}{2 \cdot 1})$

Step 5.4.3

Rewrite the expression.

$(15, \frac{6 + 9}{1})$

Step 5.4.4

Divide $6 + 9$ by $1$ .

$(15, 6 + 9)$

Step 6

Add $6$ and $9$ .

$(15, 15)$

Step 7