Pre-Algebra Examples

$4 y = 3 x + 7$

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

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

Tap for more steps...

Step 2.1.1

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

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

Step 2.1.2

Simplify the left side.

Tap for more steps...

Step 2.1.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.1.2.1.1

Cancel the common factor.

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

Step 2.1.2.1.2

Divide $y$ by $1$ .

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

Step 2.2

Reorder terms.

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