Algebra Examples

$7 x + 6 y = 4 y - 2$

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

Move all terms containing $y$ to the left side of the equation.

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Step 2.1.1

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

$7 x + 6 y - 4 y = - 2$

Step 2.1.2

Subtract $4 y$ from $6 y$ .

$7 x + 2 y = - 2$

Step 2.2

Subtract $7 x$ from both sides of the equation.

$2 y = - 2 - 7 x$

Step 2.3

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

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Step 2.3.1

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

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

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $2$ .

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Step 2.3.2.1.1

Cancel the common factor.

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

Step 2.3.2.1.2

Divide $y$ by $1$ .

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

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Divide $- 2$ by $2$ .

$y = - 1 + \frac{- 7 x}{2}$

Step 2.3.3.1.2

Move the negative in front of the fraction.

$y = - 1 - \frac{7 x}{2}$

Step 2.4

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

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Step 2.4.1

Reorder $- 1$ and $- \frac{7 x}{2}$ .

$y = - \frac{7 x}{2} - 1$

Step 2.4.2

Reorder terms.

$y = - (\frac{7}{2} x) - 1$

Step 2.4.3

Remove parentheses.

$y = - \frac{7}{2} x - 1$