Pre-Algebra Examples

$3 + 4 x = 2 y - 9$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

Step 1.1

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 1.2

Rewrite the equation as $2 y - 9 = 3 + 4 x$ .

$2 y - 9 = 3 + 4 x$

Step 1.3

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

Tap for more steps...

Step 1.3.1

Add $9$ to both sides of the equation.

$2 y = 3 + 4 x + 9$

Step 1.3.2

Add $3$ and $9$ .

$2 y = 4 x + 12$

Step 1.4

Divide each term in $2 y = 4 x + 12$ by $2$ and simplify.

Tap for more steps...

Step 1.4.1

Divide each term in $2 y = 4 x + 12$ by $2$ .

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{12}{2}$

Step 1.4.2

Simplify the left side.

Tap for more steps...

Step 1.4.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.4.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{12}{2}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{4 x}{2} + \frac{12}{2}$

Step 1.4.3

Simplify the right side.

Tap for more steps...

Step 1.4.3.1

Simplify each term.

Tap for more steps...

Step 1.4.3.1.1

Cancel the common factor of $4$ and $2$ .

Tap for more steps...

Step 1.4.3.1.1.1

Factor $2$ out of $4 x$ .

$y = \frac{2 (2 x)}{2} + \frac{12}{2}$

Step 1.4.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 1.4.3.1.1.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (2 x)}{2 (1)} + \frac{12}{2}$

Step 1.4.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 (2 x)}{2 \cdot 1} + \frac{12}{2}$

Step 1.4.3.1.1.2.3

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{12}{2}$

Step 1.4.3.1.1.2.4

Divide $2 x$ by $1$ .

$y = 2 x + \frac{12}{2}$

Step 1.4.3.1.2

Divide $12$ by $2$ .

$y = 2 x + 6$

Step 2

Using the slope-intercept form, the slope is $2$ .

$m = 2$

Step 3