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Put the following equation of a line into slope-intercept form, simplifying all fractions. 15 y-6x=60 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline15y−6x=60 15 y-6 x=60 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline15y−6x=60 15 y-6 x=60 \newlineAnswer:
  1. Isolate y-term: Isolate the y-term on one side of the equation.\newlineTo do this, we will add 6x6x to both sides of the equation 15y−6x=6015y - 6x = 60.\newlineCalculation: 15y−6x+6x=60+6x15y - 6x + 6x = 60 + 6x\newlineSimplifying, we get 15y=6x+6015y = 6x + 60.
  2. Divide by coefficient: Divide every term by the coefficient of yy to solve for yy. The coefficient of yy is 1515, so we divide each term by 1515. Calculation: y=6x+6015y = \frac{6x + 60}{15}
  3. Simplify equation: Simplify the equation by dividing each term inside the parentheses by 1515.\newlineCalculation: y=(615)x+(6015)y = \left(\frac{6}{15}\right)x + \left(\frac{60}{15}\right)\newlineSimplifying the fractions, we get y=(25)x+4y = \left(\frac{2}{5}\right)x + 4.

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