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Question
question 4
rewrite the equation ( 18x - 3y = 36 ) in slope intercept form. (fill each blank with an integer.)
the slope is (square). the ( y )-intercept is (square).
Step1: Isolate the $y$-term
$18x - 3y = 38 \implies -3y = -18x + 36$
Step2: Solve for $y$
Divide by $-3$: $y = \frac{-18x}{-3} + \frac{36}{-3} \implies y = 6x - 12$
Step3: Identify slope and intercept
Slope = coefficient of $x$: $6$; y-intercept = constant term: $-12$
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The slope is $6$. The y-intercept is $-12$.