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Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x+6y=-18 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline4x+6y=−18 4 x+6 y=-18 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline4x+6y=−18 4 x+6 y=-18 \newlineAnswer:
  1. Isolate y: Solve for y to put the equation into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.\newlineFirst, we need to isolate yy on one side of the equation. We can start by subtracting 4x4x from both sides of the equation 4x+6y=−184x + 6y = -18.\newlineCalculation: 6y=−4x−186y = -4x - 18
  2. Divide by 66: Now, we divide every term by 66 to solve for yy.\newlineCalculation: y=−46x−186y = \frac{-4}{6}x - \frac{18}{6}
  3. Simplify fractions: Simplify the fractions in the equation.\newlineCalculation: y=−23x−3y = \frac{-2}{3}x - 3

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