Precalculus Examples

$- 6 x - 7 y = 14$

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

Add $6 x$ to both sides of the equation.

$- 7 y = 14 + 6 x$

Step 2.2

Divide each term in $- 7 y = 14 + 6 x$ by $- 7$ and simplify.

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Step 2.2.1

Divide each term in $- 7 y = 14 + 6 x$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{14}{- 7} + \frac{6 x}{- 7}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 7$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{14}{- 7} + \frac{6 x}{- 7}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{14}{- 7} + \frac{6 x}{- 7}$

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

Divide $14$ by $- 7$ .

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

Step 2.2.3.1.2

Move the negative in front of the fraction.

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

Step 2.3

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

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Step 2.3.1

Reorder $- 2$ and $- \frac{6 x}{7}$ .

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

Step 2.3.2

Reorder terms.

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

Step 2.3.3

Remove parentheses.

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