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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+9y=-36 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline3x+9y=−36 3 x+9 y=-36 \newlineAnswer:

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Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline3x+9y=−36 3 x+9 y=-36 \newlineAnswer:
  1. Move x term: To convert the equation into slope-intercept form, which is y=mx+by = mx + b, we need to solve for yy. Let's start by moving the term involving xx to the other side of the equation.\newlineCalculation: Subtract 3x3x from both sides to isolate the terms with yy on one side.\newline3x+9y−3x=−36−3x3x + 9y - 3x = -36 - 3x\newlineThis simplifies to:\newline9y=−3x−369y = -3x - 36
  2. Isolate y terms: Now, we need to solve for y by dividing all terms by the coefficient of y, which is 99.\newlineCalculation: Divide each term by 99.\newline9y9=−3x9−369\frac{9y}{9} = \frac{-3x}{9} - \frac{36}{9}\newlineThis simplifies to:\newliney=(−13)x−4y = \left(-\frac{1}{3}\right)x - 4

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