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Put the following equation of a line into slope-intercept form, simplifying all fractions. x+4y=-12 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newlinex+4y=−12 x+4 y=-12 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newlinex+4y=−12 x+4 y=-12 \newlineAnswer:
  1. Subtract xx from both sides: 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 subtracting xx from both sides of the equation x+4y=−12x + 4y = -12.\newlineCalculation: x+4y−x=−12−xx + 4y - x = -12 - x\newlineThis simplifies to: 4y=−x−124y = -x - 12
  2. Isolate yy by dividing terms: Now, we need to isolate yy by dividing each term by 44.\newlineCalculation: (4y)/4=(−x−12)/4(4y) / 4 = (-x - 12) / 4\newlineThis simplifies to: y=(−1/4)x−3y = (-1/4)x - 3

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