Question

put the following equation of a line into slope-intercept form, simplifying all fractions.

$3x - 3y = 18$

Explanation:

Step1: Isolate the y-term

Subtract $3x$ from both sides.
$3x - 3y - 3x = 18 - 3x$
$-3y = -3x + 18$

Step2: Solve for y

Divide all terms by $-3$.
$\frac{-3y}{-3} = \frac{-3x}{-3} + \frac{18}{-3}$

Step3: Simplify fractions

Reduce each term to simplest form.
$y = x - 6$

Answer:

$y = x - 6$