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

$- 4 x + 3 y = 3$

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.

Add $4 x$ to both sides of the equation.

$3 y = 3 + 4 x$

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

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

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $3$ by $3$ .

$y = 1 + \frac{4 x}{3}$

Write in $y = m x + b$ form.

Reorder $1$ and $\frac{4 x}{3}$ .

$y = \frac{4 x}{3} + 1$

Reorder terms.

$y = \frac{4}{3} x + 1$