Algebra Examples

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

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

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

Tap for more steps...

Step 2.1.1

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

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

Step 2.1.2

Subtract $4 y$ from $7 y$ .

$7 x + 3 y = - 4$

Step 2.2

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

$3 y = - 4 - 7 x$

Step 2.3

Divide each term in $3 y = - 4 - 7 x$ by $3$ and simplify.

Tap for more steps...

Step 2.3.1

Divide each term in $3 y = - 4 - 7 x$ by $3$ .

$\frac{3 y}{3} = \frac{- 4}{3} + \frac{- 7 x}{3}$

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.

$\frac{3 y}{3} = \frac{- 4}{3} + \frac{- 7 x}{3}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 4}{3} + \frac{- 7 x}{3}$

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.

$y = - \frac{4}{3} + \frac{- 7 x}{3}$

Step 2.3.3.1.2

Move the negative in front of the fraction.

$y = - \frac{4}{3} - \frac{7 x}{3}$

Step 2.4

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

Tap for more steps...

Step 2.4.1

Reorder $- \frac{4}{3}$ and $- \frac{7 x}{3}$ .

$y = - \frac{7 x}{3} - \frac{4}{3}$

Step 2.4.2

Reorder terms.

$y = - (\frac{7}{3} x) - \frac{4}{3}$

Step 2.4.3

Remove parentheses.

$y = - \frac{7}{3} x - \frac{4}{3}$