Algebra Examples

$2 (x - 3) + 3 y = 0$

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.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify each term.

Tap for more steps...

Step 2.1.1.1

Apply the distributive property.

$2 x + 2 \cdot - 3 + 3 y = 0$

Step 2.1.1.2

Multiply $2$ by $- 3$ .

$2 x - 6 + 3 y = 0$

Step 2.2

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

Tap for more steps...

Step 2.2.1

Subtract $2 x$ from both sides of the equation.

$- 6 + 3 y = - 2 x$

Step 2.2.2

Add $6$ to both sides of the equation.

$3 y = - 2 x + 6$

Step 2.3

Divide each term in $3 y = - 2 x + 6$ by $3$ and simplify.

Tap for more steps...

Step 2.3.1

Divide each term in $3 y = - 2 x + 6$ by $3$ .

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

Step 2.3.2

Simplify the left side.

Tap for more steps...

Step 2.3.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.3.2.1.1

Cancel the common factor.

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

Step 2.3.2.1.2

Divide $y$ by $1$ .

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

Step 2.3.3

Simplify the right side.

Tap for more steps...

Step 2.3.3.1

Simplify each term.

Tap for more steps...

Step 2.3.3.1.1

Move the negative in front of the fraction.

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

Step 2.3.3.1.2

Divide $6$ by $3$ .

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

Step 2.4

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

Tap for more steps...

Step 2.4.1

Reorder terms.

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

Step 2.4.2

Remove parentheses.

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