put the following equation of a line into slope - intercept form, simplifying all fractions. 2x - 12y = 12

Explanation:

Step1: Isolate the y - term

Subtract $2x$ from both sides of the equation $2x - 12y=12$. $ - 12y=12 - 2x$

Step2: Solve for y

Divide each term by $- 12$. $y=\frac{12}{-12}-\frac{2x}{-12}$

Step3: Simplify the fractions

$y=-1+\frac{1}{6}x$, which can be rewritten as $y = \frac{1}{6}x - 1$.

Answer:

$y=\frac{1}{6}x - 1$