Algebra Examples

$y + 4 = 3 (3 x + 3)$

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 right side.

Tap for more steps...

Step 2.1.1

Simplify $3 (3 x + 3)$ .

Tap for more steps...

Step 2.1.1.1

Apply the distributive property.

$y + 4 = 3 (3 x) + 3 \cdot 3$

Step 2.1.1.2

Multiply.

Tap for more steps...

Step 2.1.1.2.1

Multiply $3$ by $3$ .

$y + 4 = 9 x + 3 \cdot 3$

Step 2.1.1.2.2

Multiply $3$ by $3$ .

$y + 4 = 9 x + 9$

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 $4$ from both sides of the equation.

$y = 9 x + 9 - 4$

Step 2.2.2

Subtract $4$ from $9$ .

$y = 9 x + 5$