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Put the following equation of a line into slope-intercept form, simplifying all fractions. 12y - 9x = -36

Put the following equation of a line into slope-intercept form, simplifying all fractions.
12y - 9x = -36

Answer

To convert the equation into slope-intercept form (y = mx + b), solve for y:

  1. Start with the equation: 12y - 9x = -36
  2. Add 9x to both sides: 12y = 9x - 36
  3. Divide every term by 12 to solve for y: y = (9/12)x - 36/12
  4. Simplify the fractions: y = (3/4)x - 3

The slope-intercept form is y = (3/4)x - 3.

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