Write in y=mx+b Form 5x+6y=4y-7

$5 x + 6 y = 4 y - 7$

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 containing $y$ to the left side of the equation.

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Subtract $4 y$ from both sides of the equation.

$5 x + 6 y - 4 y = - 7$

Subtract $4 y$ from $6 y$ .

$5 x + 2 y = - 7$

Subtract $5 x$ from both sides of the equation.

$2 y = - 7 - 5 x$

Divide each term by $2$ and simplify.

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Divide each term in $2 y = - 7 - 5 x$ by $2$ .

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

Cancel the common factor of $2$ .

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Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify $\frac{- 7}{2} + \frac{- 5 x}{2}$ .

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Simplify each term.

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Move the negative in front of the fraction.

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

Move the negative in front of the fraction.

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

Reorder $- \frac{7}{2}$ and $- \frac{5 x}{2}$ .

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

Rewrite in slope-intercept form.

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

Write in y=mx+b Form 5x+6y=4y-7

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