Write in y=mx+b Form -6x+2y=3/2

$- 6 x + 2 y = \frac{3}{2}$

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 $6 x$ to both sides of the equation.

$2 y = \frac{3}{2} + 6 x$

Divide each term in $2 y = \frac{3}{2} + 6 x$ by $2$ and simplify.

Divide each term in $2 y = \frac{3}{2} + 6 x$ by $2$ .

$\frac{2 y}{2} = \frac{\frac{3}{2}}{2} + \frac{6 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{\frac{3}{2}}{2} + \frac{6 x}{2}$

Divide $y$ by $1$ .

$y = \frac{\frac{3}{2}}{2} + \frac{6 x}{2}$

Simplify the right side.

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{3}{2} \cdot \frac{1}{2} + \frac{6 x}{2}$

Multiply $\frac{3}{2} \cdot \frac{1}{2}$ .

Multiply $\frac{3}{2}$ by $\frac{1}{2}$ .

$y = \frac{3}{2 \cdot 2} + \frac{6 x}{2}$

Multiply $2$ by $2$ .

$y = \frac{3}{4} + \frac{6 x}{2}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 x$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $3 x$ by $1$ .

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

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

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