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Put the following equation of a line into slope-intercept form, simplifying all fractions. 8x+4y=-12 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline8x+4y=−12 8 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.\newline8x+4y=−12 8 x+4 y=-12 \newlineAnswer:
  1. Isolate yy by moving 8x8x: Solve for yy to put the equation into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.\newlineWe start by isolating yy on one side of the equation. To do this, we need to move the term 8x8x to the other side of the equation by subtracting 8x8x from both sides.
  2. Subtract 8x8x: Subtract 8x8x from both sides of the equation 8x+4y=−128x + 4y = -12.\newline4y=−8x−124y = -8x - 12
  3. Divide by 44: Divide all terms by the coefficient of yy, which is 44, to solve for yy.y=−8x−124y = \frac{-8x - 12}{4}
  4. Simplify equation: Simplify the equation by dividing each term on the right side by 44.\newliney=(−84)x+(−124)y = \left(-\frac{8}{4}\right)x + \left(-\frac{12}{4}\right)\newliney=−2x−3y = -2x - 3

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