Write in y=mx+b Form 2x-9y-4=0

$2 x - 9 y - 4 = 0$

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 $2 x$ from both sides of the equation.

$- 9 y - 4 = - 2 x$

Add $4$ to both sides of the equation.

$- 9 y = - 2 x + 4$

Divide each term in $- 9 y = - 2 x + 4$ by $- 9$ and simplify.

Divide each term in $- 9 y = - 2 x + 4$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{- 2 x}{- 9} + \frac{4}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{- 2 x}{- 9} + \frac{4}{- 9}$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{- 9} + \frac{4}{- 9}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(2) x}{9} + \frac{4}{- 9}$

Move the negative in front of the fraction.

$y = \frac{2 x}{9} - \frac{4}{9}$

Reorder terms.

$y = \frac{2}{9} x - \frac{4}{9}$