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Put the following equation of a line into slope-intercept form, simplifying all fractions. 12 x+8y=24 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline12x+8y=24 12 x+8 y=24 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline12x+8y=24 12 x+8 y=24 \newlineAnswer:
  1. Given Equation: Start with the given equation.\newline12x+8y=2412x + 8y = 24\newlineWe need to 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.
  2. Isolate y-term: Isolate the y-term on one side of the equation.\newlineTo do this, we will subtract 12x12x from both sides of the equation.\newline12x+8y−12x=24−12x12x + 8y - 12x = 24 - 12x\newlineThis simplifies to:\newline8y=−12x+248y = -12x + 24
  3. Divide by Coefficient: Divide every term by the coefficient of yy, which is 88, to solve for yy.8y8=−12x8+248\frac{8y}{8} = \frac{-12x}{8} + \frac{24}{8}This simplifies to:y=−32x+3y = -\frac{3}{2}x + 3

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