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Find the yy-intercept of the line 14x6y=2014x - 6y = -20. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Q. Find the yy-intercept of the line 14x6y=2014x - 6y = -20. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Set xx to 00: To find the y-intercept of the line, we need to set xx to 00 and solve for yy.\newlineSubstitute x=0x = 0 into the equation 14x6y=2014x - 6y = -20.\newline14(0)6y=2014(0) - 6y = -20\newline6y=20-6y = -20
  2. Substitute x=0x = 0: Now, we divide both sides of the equation by 6-6 to solve for yy.\newline6y/6=20/6-6y / -6 = -20 / -6\newliney=20/6y = 20 / 6
  3. Divide by 6-6: Simplify the fraction 206\frac{20}{6} to its simplest form.206\frac{20}{6} can be simplified by dividing both numerator and denominator by 22.y=(20/2)(6/2)y = \frac{(20 / 2)}{(6 / 2)}y=103y = \frac{10}{3}

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