Finite Math Examples

(12, 12)

$(12, 12)$ ,

(12, 24)

$(12, 24)$

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})

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

Step 2

Substitute in the values for

(x_{1}, y_{1})

$(x_{1}, y_{1})$ and

(x_{2}, y_{2})

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

(\frac{12 + 12}{2}, \frac{12 + 24}{2})

$(\frac{12 + 12}{2}, \frac{12 + 24}{2})$

Step 3

Cancel the common factor of

12 + 12

$12 + 12$ and

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

12

$12$ .

(\frac{2 \cdot 6 + 12}{2}, \frac{12 + 24}{2})

$(\frac{2 \cdot 6 + 12}{2}, \frac{12 + 24}{2})$

Step 3.2

Factor

2

$2$ out of

12

$12$ .

(\frac{2 \cdot 6 + 2 \cdot 6}{2}, \frac{12 + 24}{2})

$(\frac{2 \cdot 6 + 2 \cdot 6}{2}, \frac{12 + 24}{2})$

Step 3.3

Factor

2

$2$ out of

2 \cdot 6 + 2 \cdot 6

$2 \cdot 6 + 2 \cdot 6$ .

(\frac{2 \cdot (6 + 6)}{2}, \frac{12 + 24}{2})

$(\frac{2 \cdot (6 + 6)}{2}, \frac{12 + 24}{2})$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor

2

$2$ out of

2

$2$ .

(\frac{2 \cdot (6 + 6)}{2 (1)}, \frac{12 + 24}{2})

$(\frac{2 \cdot (6 + 6)}{2 (1)}, \frac{12 + 24}{2})$

Step 3.4.2

Cancel the common factor.

(\frac{2 \cdot (6 + 6)}{2 \cdot 1}, \frac{12 + 24}{2})

$(\frac{2 \cdot (6 + 6)}{2 \cdot 1}, \frac{12 + 24}{2})$

Step 3.4.3

Rewrite the expression.

(\frac{6 + 6}{1}, \frac{12 + 24}{2})

$(\frac{6 + 6}{1}, \frac{12 + 24}{2})$

Step 3.4.4

Divide

6 + 6

$6 + 6$ by

1

$1$ .

(6 + 6, \frac{12 + 24}{2})

$(6 + 6, \frac{12 + 24}{2})$

(6 + 6, \frac{12 + 24}{2})

$(6 + 6, \frac{12 + 24}{2})$

(6 + 6, \frac{12 + 24}{2})

$(6 + 6, \frac{12 + 24}{2})$

Step 4

Add

6

$6$ and

6

$6$ .

(12, \frac{12 + 24}{2})

$(12, \frac{12 + 24}{2})$

Step 5

Cancel the common factor of

12 + 24

$12 + 24$ and

2

$2$ .

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Step 5.1

Factor

2

$2$ out of

12

$12$ .

(12, \frac{2 \cdot 6 + 24}{2})

$(12, \frac{2 \cdot 6 + 24}{2})$

Step 5.2

Factor

2

$2$ out of

24

$24$ .

(12, \frac{2 \cdot 6 + 2 \cdot 12}{2})

$(12, \frac{2 \cdot 6 + 2 \cdot 12}{2})$

Step 5.3

Factor

2

$2$ out of

2 \cdot 6 + 2 \cdot 12

$2 \cdot 6 + 2 \cdot 12$ .

(12, \frac{2 \cdot (6 + 12)}{2})

$(12, \frac{2 \cdot (6 + 12)}{2})$

Step 5.4

Cancel the common factors.

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Step 5.4.1

Factor

2

$2$ out of

2

$2$ .

(12, \frac{2 \cdot (6 + 12)}{2 (1)})

$(12, \frac{2 \cdot (6 + 12)}{2 (1)})$

Step 5.4.2

Cancel the common factor.

(12, \frac{2 \cdot (6 + 12)}{2 \cdot 1})

$(12, \frac{2 \cdot (6 + 12)}{2 \cdot 1})$

Step 5.4.3

Rewrite the expression.

(12, \frac{6 + 12}{1})

$(12, \frac{6 + 12}{1})$

Step 5.4.4

Divide

6 + 12

$6 + 12$ by

1

$1$ .

(12, 6 + 12)

$(12, 6 + 12)$

(12, 6 + 12)

$(12, 6 + 12)$

(12, 6 + 12)

$(12, 6 + 12)$

Step 6

Add

6

$6$ and

12

$12$ .

(12, 18)

$(12, 18)$

Step 7

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