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Put the following equation of a line into slope-intercept form, simplifying all fractions. x+2y=-10 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newlinex+2y=−10 x+2 y=-10 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newlinex+2y=−10 x+2 y=-10 \newlineAnswer:
  1. Subtract x: To convert the equation into slope-intercept form, which is y=mx+by = mx + b, we need to solve for yy. Let's start by subtracting xx from both sides of the equation x+2y=−10x + 2y = -10.\newlineCalculation: x+2y−x=−10−xx + 2y - x = -10 - x\newlineThis simplifies to: 2y=−x−102y = -x - 10
  2. Isolate y: Now, we need to isolate y by dividing both sides of the equation by 22.\newlineCalculation: (2y)/2=(−x−10)/2(2y) / 2 = (-x - 10) / 2\newlineThis simplifies to: y=−x/2−5y = -x/2 - 5

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