Algebra Examples

$x + 2 y = 3 x + 4$

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 not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.1.1

Subtract $x$ from both sides of the equation.

$2 y = 3 x + 4 - x$

Step 2.1.2

Subtract $x$ from $3 x$ .

$2 y = 2 x + 4$

Step 2.2

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

Tap for more steps...

Step 2.2.1

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

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

Step 2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide $y$ by $1$ .

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

Step 2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.1

Simplify each term.

Tap for more steps...

Step 2.2.3.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.3.1.1.1

Cancel the common factor.

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

Step 2.2.3.1.1.2

Divide $x$ by $1$ .

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

Step 2.2.3.1.2

Divide $4$ by $2$ .

$y = x + 2$