Finite Math Examples

\frac{12}{18} = \frac{6}{8}

$\frac{12}{18} = \frac{6}{8}$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of

12

$12$ and

18

$18$ .

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Step 1.2.1.1

Factor

6

$6$ out of

12

$12$ .

\frac{6 (2)}{18} = \frac{6}{8}

$\frac{6 (2)}{18} = \frac{6}{8}$

Step 1.2.1.2

Cancel the common factors.

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Step 1.2.1.2.1

Factor

6

$6$ out of

18

$18$ .

\frac{6 \cdot 2}{6 \cdot 3} = \frac{6}{8}

$\frac{6 \cdot 2}{6 \cdot 3} = \frac{6}{8}$

Step 1.2.1.2.2

Cancel the common factor.

$\frac{6 \cdot 2}{6 \cdot 3} = \frac{6}{8}$

Step 1.2.1.2.3

Rewrite the expression.

$\frac{2}{3} = \frac{6}{8}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of

$6$ and

$8$ .

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Step 1.3.1.1

Factor

$2$ out of

$6$ .

$\frac{2}{3} = \frac{2 (3)}{8}$

Step 1.3.1.2

Cancel the common factors.

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Step 1.3.1.2.1

Factor

$2$ out of

$8$ .

$\frac{2}{3} = \frac{2 \cdot 3}{2 \cdot 4}$

Step 1.3.1.2.2

Cancel the common factor.

$\frac{2}{3} = \frac{2 \cdot 3}{2 \cdot 4}$

Step 1.3.1.2.3

Rewrite the expression.

$\frac{2}{3} = \frac{3}{4}$

Step 1.4

Since

$\frac{2}{3} \neq \frac{3}{4}$ , there are no solutions.

No solution

Step 2

The equation is not linear, so a constant slope does not exist.

Not Linear