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Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x-6y=36 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline5x−6y=36 5 x-6 y=36 \newlineAnswer:

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Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline5x−6y=36 5 x-6 y=36 \newlineAnswer:
  1. Isolate y-term: Isolate the y-term on one side of the equation.\newlineTo do this, we will subtract 5x5x from both sides of the equation.\newline5x−6y−5x=36−5x5x - 6y - 5x = 36 - 5x\newline−6y=−5x+36-6y = -5x + 36
  2. Divide by coefficient: Divide all terms by the coefficient of yy to solve for yy. The coefficient of yy is −6-6. We will divide each term by −6-6 to isolate yy. (−6y)/(−6)=(−5x)/(−6)+36/(−6)(-6y) / (-6) = (-5x) / (-6) + 36 / (-6) y=(5/6)x−6y = (5/6)x - 6

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