Finite Math Examples

$2 x + 6 y = 7$

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

Subtract $2 x$ from both sides of the equation.

$6 y = 7 - 2 x$

Step 2.2

Divide each term in $6 y = 7 - 2 x$ by $6$ and simplify.

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Step 2.2.1

Divide each term in $6 y = 7 - 2 x$ by $6$ .

$\frac{6 y}{6} = \frac{7}{6} + \frac{- 2 x}{6}$

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.

$\frac{6 y}{6} = \frac{7}{6} + \frac{- 2 x}{6}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{7}{6} + \frac{- 2 x}{6}$

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 $- 2 x$ .

$y = \frac{7}{6} + \frac{2 (- x)}{6}$

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 $6$ .

$y = \frac{7}{6} + \frac{2 (- x)}{2 (3)}$

Step 2.2.3.1.1.2.2

Cancel the common factor.

$y = \frac{7}{6} + \frac{2 (- x)}{2 \cdot 3}$

Step 2.2.3.1.1.2.3

Rewrite the expression.

$y = \frac{7}{6} + \frac{- x}{3}$

Step 2.2.3.1.2

Move the negative in front of the fraction.

$y = \frac{7}{6} - \frac{x}{3}$

Step 2.3

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

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Step 2.3.1

Reorder $\frac{7}{6}$ and $- \frac{x}{3}$ .

$y = - \frac{x}{3} + \frac{7}{6}$

Step 2.3.2

Reorder terms.

$y = - (\frac{1}{3} x) + \frac{7}{6}$

Step 2.3.3

Remove parentheses.

$y = - \frac{1}{3} x + \frac{7}{6}$