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Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-2y=16 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline2x−2y=16 2 x-2 y=16 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline2x−2y=16 2 x-2 y=16 \newlineAnswer:
  1. Subtract 2x2x from both sides: To convert the equation into slope-intercept form (y=mx+by = mx + b), we need to solve for y. Let's start by subtracting 2x2x from both sides of the equation.\newlineCalculation: 2x−2y−2x=16−2x2x - 2y - 2x = 16 - 2x\newlineSimplification: −2y=−2x+16-2y = -2x + 16
  2. Divide every term by −2-2: Now, we divide every term by −2-2 to isolate yy.\newlineCalculation: (−2y)/(−2)=(−2x)/(−2)+16/(−2)(-2y) / (-2) = (-2x) / (-2) + 16 / (-2)\newlineSimplification: y=x−8y = x - 8
  3. Final result: We have successfully converted the equation into slope-intercept form. The slope mm is 11, and the y-intercept bb is −8-8.

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