Finite Math Examples

$9 x = 27 - 18 y$

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 $27 - 18 y = 9 x$ .

$27 - 18 y = 9 x$

Step 2.2

Subtract $27$ from both sides of the equation.

$- 18 y = 9 x - 27$

Step 2.3

Divide each term in $- 18 y = 9 x - 27$ by $- 18$ and simplify.

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Step 2.3.1

Divide each term in $- 18 y = 9 x - 27$ by $- 18$ .

$\frac{- 18 y}{- 18} = \frac{9 x}{- 18} + \frac{- 27}{- 18}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $- 18$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{- 18 y}{- 18} = \frac{9 x}{- 18} + \frac{- 27}{- 18}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{9 x}{- 18} + \frac{- 27}{- 18}$

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 $- 18$ .

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Step 2.3.3.1.1.1

Factor $9$ out of $9 x$ .

$y = \frac{9 (x)}{- 18} + \frac{- 27}{- 18}$

Step 2.3.3.1.1.2

Cancel the common factors.

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Step 2.3.3.1.1.2.1

Factor $9$ out of $- 18$ .

$y = \frac{9 x}{9 \cdot - 2} + \frac{- 27}{- 18}$

Step 2.3.3.1.1.2.2

Cancel the common factor.

$y = \frac{9 x}{9 \cdot - 2} + \frac{- 27}{- 18}$

Step 2.3.3.1.1.2.3

Rewrite the expression.

$y = \frac{x}{- 2} + \frac{- 27}{- 18}$

Step 2.3.3.1.2

Move the negative in front of the fraction.

$y = - \frac{x}{2} + \frac{- 27}{- 18}$

Step 2.3.3.1.3

Cancel the common factor of $- 27$ and $- 18$ .

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Step 2.3.3.1.3.1

Factor $- 9$ out of $- 27$ .

$y = - \frac{x}{2} + \frac{- 9 (3)}{- 18}$

Step 2.3.3.1.3.2

Cancel the common factors.

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Step 2.3.3.1.3.2.1

Factor $- 9$ out of $- 18$ .

$y = - \frac{x}{2} + \frac{- 9 \cdot 3}{- 9 \cdot 2}$

Step 2.3.3.1.3.2.2

Cancel the common factor.

$y = - \frac{x}{2} + \frac{- 9 \cdot 3}{- 9 \cdot 2}$

Step 2.3.3.1.3.2.3

Rewrite the expression.

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

Step 2.4

Write in $y = m x + b$ form.

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Step 2.4.1

Reorder terms.

$y = - (\frac{1}{2} x) + \frac{3}{2}$

Step 2.4.2

Remove parentheses.

$y = - \frac{1}{2} x + \frac{3}{2}$