Write in y=mx+b Form 3x-7y=6x+14

$3 x - 7 y = 6 x + 14$

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Rewrite in slope-intercept form.

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

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Subtract $3 x$ from both sides of the equation.

$- 7 y = 6 x + 14 - 3 x$

Subtract $3 x$ from $6 x$ .

$- 7 y = 3 x + 14$

Divide each term by $- 7$ and simplify.

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Divide each term in $- 7 y = 3 x + 14$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{3 x}{- 7} + \frac{14}{- 7}$

Cancel the common factor of $- 7$ .

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Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{3 x}{- 7} + \frac{14}{- 7}$

Divide $y$ by $1$ .

$y = \frac{3 x}{- 7} + \frac{14}{- 7}$

Simplify each term.

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Move the negative in front of the fraction.

$y = - \frac{3 x}{7} + \frac{14}{- 7}$

Divide $14$ by $- 7$ .

$y = - \frac{3 x}{7} - 2$

Rewrite in slope-intercept form.

$y = - \frac{3}{7} x - 2$

Write in y=mx+b Form 3x-7y=6x+14