Write in y=mx+b Form -4x+2y-36=0

$- 4 x + 2 y - 36 = 0$

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 $4 x$ to both sides of the equation.

$2 y - 36 = 4 x$

Add $36$ to both sides of the equation.

$2 y = 4 x + 36$

Divide each term in $2 y = 4 x + 36$ by $2$ and simplify.

Divide each term in $2 y = 4 x + 36$ by $2$ .

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{36}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{36}{2}$

Divide $y$ by $1$ .

$y = \frac{4 x}{2} + \frac{36}{2}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 x$ .

$y = \frac{2 (2 x)}{2} + \frac{36}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (2 x)}{2 (1)} + \frac{36}{2}$

Cancel the common factor.

$y = \frac{2 (2 x)}{2 \cdot 1} + \frac{36}{2}$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{36}{2}$

Divide $2 x$ by $1$ .

$y = 2 x + \frac{36}{2}$

Divide $36$ by $2$ .

$y = 2 x + 18$