Write in y=mx+b Form 3x-4y+12=0

$3 x - 4 y + 12 = 0$

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.

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

Subtract $3 x$ from both sides of the equation.

$- 4 y + 12 = - 3 x$

Subtract $12$ from both sides of the equation.

$- 4 y = - 3 x - 12$

Divide each term in $- 4 y = - 3 x - 12$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 3 x - 12$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 3 x}{- 4} + \frac{- 12}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 3 x}{- 4} + \frac{- 12}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{- 4} + \frac{- 12}{- 4}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(3) x}{4} + \frac{- 12}{- 4}$

Divide $- 12$ by $- 4$ .

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

Reorder terms.

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