Finite Math Examples

$5 x = 6 y + 9$

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

Rewrite the equation as $6 y + 9 = 5 x$ .

$6 y + 9 = 5 x$

Step 2.2

Subtract $9$ from both sides of the equation.

$6 y = 5 x - 9$

Step 2.3

Divide each term in $6 y = 5 x - 9$ by $6$ and simplify.

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Step 2.3.1

Divide each term in $6 y = 5 x - 9$ by $6$ .

$\frac{6 y}{6} = \frac{5 x}{6} + \frac{- 9}{6}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $6$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{5 x}{6} + \frac{- 9}{6}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{5 x}{6} + \frac{- 9}{6}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Cancel the common factor of $- 9$ and $6$ .

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Step 2.3.3.1.1.1

Factor $3$ out of $- 9$ .

$y = \frac{5 x}{6} + \frac{3 (- 3)}{6}$

Step 2.3.3.1.1.2

Cancel the common factors.

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Step 2.3.3.1.1.2.1

Factor $3$ out of $6$ .

$y = \frac{5 x}{6} + \frac{3 \cdot - 3}{3 \cdot 2}$

Step 2.3.3.1.1.2.2

Cancel the common factor.

$y = \frac{5 x}{6} + \frac{3 \cdot - 3}{3 \cdot 2}$

Step 2.3.3.1.1.2.3

Rewrite the expression.

$y = \frac{5 x}{6} + \frac{- 3}{2}$

Step 2.3.3.1.2

Move the negative in front of the fraction.

$y = \frac{5 x}{6} - \frac{3}{2}$

Step 2.4

Reorder terms.

$y = \frac{5}{6} x - \frac{3}{2}$