Write in y=mx+b Form -10y-3x=x+7

$- 10 y - 3 x = x + 7$

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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Add $3 x$ to both sides of the equation.

$- 10 y = x + 7 + 3 x$

Add $x$ and $3 x$ .

$- 10 y = 4 x + 7$

Divide each term by $- 10$ and simplify.

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Divide each term in $- 10 y = 4 x + 7$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{4 x}{- 10} + \frac{7}{- 10}$

Cancel the common factor of $- 10$ .

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Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{4 x}{- 10} + \frac{7}{- 10}$

Divide $y$ by $1$ .

$y = \frac{4 x}{- 10} + \frac{7}{- 10}$

Simplify each term.

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Cancel the common factor of $4$ and $- 10$ .

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Factor $2$ out of $4 x$ .

$y = \frac{2 (2 x)}{- 10} + \frac{7}{- 10}$

Cancel the common factors.

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Factor $2$ out of $- 10$ .

$y = \frac{2 (2 x)}{2 (- 5)} + \frac{7}{- 10}$

Cancel the common factor.

$y = \frac{2 (2 x)}{2 \cdot - 5} + \frac{7}{- 10}$

Rewrite the expression.

$y = \frac{2 x}{- 5} + \frac{7}{- 10}$

Move the negative in front of the fraction.

$y = - \frac{2 x}{5} + \frac{7}{- 10}$

Move the negative in front of the fraction.

$y = - \frac{2 x}{5} - \frac{7}{10}$

Rewrite in slope-intercept form.

$y = - \frac{2}{5} x - \frac{7}{10}$

Write in y=mx+b Form -10y-3x=x+7

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