Write in y=mx+b Form 3/5x+1/2y=6

$\frac{3}{5} x + \frac{1}{2} y = 6$

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.

Combine $\frac{3}{5}$ and $x$ .

$\frac{3 x}{5} + \frac{1}{2} y = 6$

Combine $\frac{1}{2}$ and $y$ .

$\frac{3 x}{5} + \frac{y}{2} = 6$

Subtract $\frac{3 x}{5}$ from both sides of the equation.

$\frac{y}{2} = 6 - \frac{3 x}{5}$

Multiply both sides of the equation by $2$ .

$2 \frac{y}{2} = 2 (6 - \frac{3 x}{5})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{y}{2} = 2 (6 - \frac{3 x}{5})$

Rewrite the expression.

$y = 2 (6 - \frac{3 x}{5})$

Simplify the right side.

Simplify $2 (6 - \frac{3 x}{5})$ .

Apply the distributive property.

$y = 2 \cdot 6 + 2 (- \frac{3 x}{5})$

Multiply $2$ by $6$ .

$y = 12 + 2 (- \frac{3 x}{5})$

Multiply $2 (- \frac{3 x}{5})$ .

Multiply $- 1$ by $2$ .

$y = 12 - 2 \frac{3 x}{5}$

Combine $- 2$ and $\frac{3 x}{5}$ .

$y = 12 + \frac{- 2 (3 x)}{5}$

Multiply $3$ by $- 2$ .

$y = 12 + \frac{- 6 x}{5}$

Move the negative in front of the fraction.

$y = 12 - \frac{6 x}{5}$

Reorder $12$ and $- \frac{6 x}{5}$ .

$y = - \frac{6 x}{5} + 12$

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

Reorder terms.

$y = - (\frac{6}{5} x) + 12$

Remove parentheses.

$y = - \frac{6}{5} x + 12$