Algebra Examples

3 x + 2 y = - 6

$3 x + 2 y = - 6$

Step 1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Subtract

3 x

$3 x$ from both sides of the equation.

2 y = - 6 - 3 x

$2 y = - 6 - 3 x$

Step 2.2

Divide each term in

2 y = - 6 - 3 x

$2 y = - 6 - 3 x$ by

2

$2$ and simplify.

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Step 2.2.1

Divide each term in

2 y = - 6 - 3 x

$2 y = - 6 - 3 x$ by

2

$2$ .

\frac{2 y}{2} = \frac{- 6}{2} + \frac{- 3 x}{2}

$\frac{2 y}{2} = \frac{- 6}{2} + \frac{- 3 x}{2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of

2

$2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 6}{2} + \frac{- 3 x}{2}$

Step 2.2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{- 6}{2} + \frac{- 3 x}{2}$

$y = \frac{- 6}{2} + \frac{- 3 x}{2}$

$y = \frac{- 6}{2} + \frac{- 3 x}{2}$

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

$- 6$ by

$2$ .

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

Step 2.2.3.1.2

Move the negative in front of the fraction.

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

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

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

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

Step 2.3

Write in

$y = m x + b$ form.

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Step 2.3.1

Reorder

$- 3$ and

$- \frac{3 x}{2}$ .

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

Step 2.3.2

Reorder terms.

$y = - (\frac{3}{2} x) - 3$

Step 2.3.3

Remove parentheses.

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

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$