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Put the following equation of a line into slope-intercept form, simplifying all fractions. 12 x-20 y=-100 Answer ◻

Put the following equation of a line into slope-intercept form, simplifying all fractions. \newline12x−20y=−10012x-20y=-100 \newlineAnswer \newline◻

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions. \newline12x−20y=−10012x-20y=-100 \newlineAnswer \newline◻
  1. Solve for yy: First, we need to solve for yy to get the equation into slope-intercept form, which is y=mx+by = mx + b.
  2. Subtract 12x12x: Subtract 12x12x from both sides of the equation: −20y=−12x−100-20y = -12x - 100.
  3. Divide by −20-20: Divide every term by −20-20 to solve for yy: y=1220x+10020y = \frac{12}{20}x + \frac{100}{20}.
  4. Simplify fractions: Simplify the fractions: y=35x+5y = \frac{3}{5}x + 5.

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