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Put the following equation of a line into slope-intercept form, simplifying all fractions. 8y-10 x=-56 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline8y−10x=−56 8 y-10 x=-56 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline8y−10x=−56 8 y-10 x=-56 \newlineAnswer:
  1. Add 10x10x to isolate yy-term: Add 10x10x to both sides of the equation to isolate the yy-term on one side.\newlineCalculation: 8y−10x+10x=−56+10x8y - 10x + 10x = -56 + 10x\newlineThis simplifies to 8y=10x−568y = 10x - 56
  2. Divide every term by 88: Divide every term by 88 to solve for yy and to put the equation in slope-intercept form (y=mx+by = mx + b).\newlineCalculation: y=10x−568y = \frac{10x - 56}{8}\newlineThis simplifies to y=108x−568y = \frac{10}{8}x - \frac{56}{8}
  3. Simplify fractions: Simplify the fractions in the equation.\newlineCalculation: y=54x−7y = \frac{5}{4}x - 7

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