Write in y=mx+b Form -5x+4y-39=0

$- 5 x + 4 y - 39 = 0$

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.

Add $5 x$ to both sides of the equation.

$4 y - 39 = 5 x$

Add $39$ to both sides of the equation.

$4 y = 5 x + 39$

Divide each term in $4 y = 5 x + 39$ by $4$ and simplify.

Divide each term in $4 y = 5 x + 39$ by $4$ .

$\frac{4 y}{4} = \frac{5 x}{4} + \frac{39}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{5 x}{4} + \frac{39}{4}$

Divide $y$ by $1$ .

$y = \frac{5 x}{4} + \frac{39}{4}$

Reorder terms.

$y = \frac{5}{4} x + \frac{39}{4}$