Finite Math Examples

$8 y = 6 x$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Divide each term in $8 y = 6 x$ by $8$ and simplify.

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Step 2.1.1

Divide each term in $8 y = 6 x$ by $8$ .

$\frac{8 y}{8} = \frac{6 x}{8}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $8$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{8 y}{8} = \frac{6 x}{8}$

Step 2.1.2.1.2

Divide $y$ by $1$ .

$y = \frac{6 x}{8}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Cancel the common factor of $6$ and $8$ .

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Step 2.1.3.1.1

Factor $2$ out of $6 x$ .

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

Step 2.1.3.1.2

Cancel the common factors.

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Step 2.1.3.1.2.1

Factor $2$ out of $8$ .

$y = \frac{2 (3 x)}{2 (4)}$

Step 2.1.3.1.2.2

Cancel the common factor.

$y = \frac{2 (3 x)}{2 \cdot 4}$

Step 2.1.3.1.2.3

Rewrite the expression.

$y = \frac{3 x}{4}$

Step 2.2

Reorder terms.

$y = \frac{3}{4} x$