Finite Math Examples

$- 2 x - 6 y + 18 = 0$

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

Move all terms not containing $y$ to the right side of the equation.

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Step 2.1.1

Add $2 x$ to both sides of the equation.

$- 6 y + 18 = 2 x$

Step 2.1.2

Subtract $18$ from both sides of the equation.

$- 6 y = 2 x - 18$

Step 2.2

Divide each term in $- 6 y = 2 x - 18$ by $- 6$ and simplify.

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Step 2.2.1

Divide each term in $- 6 y = 2 x - 18$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{2 x}{- 6} + \frac{- 18}{- 6}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 6$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{2 x}{- 6} + \frac{- 18}{- 6}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{2 x}{- 6} + \frac{- 18}{- 6}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Cancel the common factor of $2$ and $- 6$ .

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Step 2.2.3.1.1.1

Factor $2$ out of $2 x$ .

$y = \frac{2 (x)}{- 6} + \frac{- 18}{- 6}$

Step 2.2.3.1.1.2

Cancel the common factors.

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Step 2.2.3.1.1.2.1

Factor $2$ out of $- 6$ .

$y = \frac{2 x}{2 \cdot - 3} + \frac{- 18}{- 6}$

Step 2.2.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 x}{2 \cdot - 3} + \frac{- 18}{- 6}$

Step 2.2.3.1.1.2.3

Rewrite the expression.

$y = \frac{x}{- 3} + \frac{- 18}{- 6}$

Step 2.2.3.1.2

Move the negative in front of the fraction.

$y = - \frac{x}{3} + \frac{- 18}{- 6}$

Step 2.2.3.1.3

Divide $- 18$ by $- 6$ .

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

Step 2.3

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

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Step 2.3.1

Reorder terms.

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

Step 2.3.2

Remove parentheses.

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