Write in y=mx+b Form 2-(4y+6x)/2=4

$2 - \frac{4 y + 6 x}{2} = 4$

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.

Simplify the left side.

Simplify each term.

Cancel the common factor of $4 y + 6 x$ and $2$ .

Factor $2$ out of $4 y$ .

$2 - \frac{2 (2 y) + 6 x}{2} = 4$

Factor $2$ out of $6 x$ .

$2 - \frac{2 (2 y) + 2 (3 x)}{2} = 4$

Factor $2$ out of $2 (2 y) + 2 (3 x)$ .

$2 - \frac{2 (2 y + 3 x)}{2} = 4$

Cancel the common factors.

Factor $2$ out of $2$ .

$2 - \frac{2 (2 y + 3 x)}{2 (1)} = 4$

Cancel the common factor.

$2 - \frac{2 (2 y + 3 x)}{2 \cdot 1} = 4$

Rewrite the expression.

$2 - \frac{2 y + 3 x}{1} = 4$

Divide $2 y + 3 x$ by $1$ .

$2 - (2 y + 3 x) = 4$

Apply the distributive property.

$2 - (2 y) - (3 x) = 4$

Multiply $2$ by $- 1$ .

$2 - 2 y - (3 x) = 4$

Multiply $3$ by $- 1$ .

$2 - 2 y - 3 x = 4$

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

Subtract $2$ from both sides of the equation.

$- 2 y - 3 x = 4 - 2$

Add $3 x$ to both sides of the equation.

$- 2 y = 4 - 2 + 3 x$

Subtract $2$ from $4$ .

$- 2 y = 2 + 3 x$

Divide each term in $- 2 y = 2 + 3 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 2 + 3 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{2}{- 2} + \frac{3 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{2}{- 2} + \frac{3 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{2}{- 2} + \frac{3 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $2$ by $- 2$ .

$y = - 1 + \frac{3 x}{- 2}$

Move the negative in front of the fraction.

$y = - 1 - \frac{3 x}{2}$

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

Reorder $- 1$ and $- \frac{3 x}{2}$ .

$y = - \frac{3 x}{2} - 1$

Reorder terms.

$y = - (\frac{3}{2} x) - 1$

Remove parentheses.

$y = - \frac{3}{2} x - 1$

Write in y=mx+b Form 2-(4y+6x)/2=4

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