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Put the following equation of a line into slope-intercept form, simplifying all fractions. 9x+3y=-18 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline9x+3y=−18 9 x+3 y=-18 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline9x+3y=−18 9 x+3 y=-18 \newlineAnswer:
  1. Isolate y-term: Isolate the yy-term on one side of the equation.\newlineTo do this, we will subtract 9x9x from both sides of the equation 9x+3y=−189x + 3y = -18.\newlineCalculation: 3y=−9x−183y = -9x - 18
  2. Divide by coefficient: Divide all terms by the coefficient of yy to solve for yy. The coefficient of yy is 33, so we will divide each term by 33 to isolate yy. Calculation: y=(−9x−18)/3y = (-9x - 18) / 3
  3. Simplify equation: Simplify the equation by dividing each term inside the parentheses by 33.\newlineCalculation: y=(−93)x+(−183)y = \left(\frac{-9}{3}\right)x + \left(\frac{-18}{3}\right)\newlineSimplification: y=−3x−6y = -3x - 6

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