Question

question
put the following equation of a line into slope - intercept form, simplifying all fractions.
3x + 6y = -18
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Explanation:

Step1: Isolate the y-term

Subtract $3x$ from both sides.
$3x + 6y - 3x = -18 - 3x$
$6y = -3x - 18$

Step2: Solve for y

Divide all terms by 6.
$y = \frac{-3x}{6} - \frac{18}{6}$

Step3: Simplify fractions

Reduce each fraction to lowest terms.
$y = -\frac{1}{2}x - 3$

Answer:

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