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Find the yy-intercept of the line 20x−3y=−1820x - 3y = -18. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Standard form: find x- and y-interceptsright chevron icon

Full solution

Q. Find the yy-intercept of the line 20x−3y=−1820x - 3y = -18. 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 20x−3y=−1820x - 3y = -18.\newline20(0)−3y=−1820(0) - 3y = -18\newline−3y=−18-3y = -18
  2. Substitute xx into equation: Now, we divide both sides of the equation by −3-3 to solve for yy.−3y−3=−18−3\frac{-3y}{-3} = \frac{-18}{-3}y=6y = 6

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