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Find the yy-intercept of the line 8x−3y=38x - 3y = 3. 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 8x−3y=38x - 3y = 3. 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 8x−3y=38x - 3y = 3.\newline8(0)−3y=38(0) - 3y = 3\newline0−3y=30 - 3y = 3\newline−3y=3-3y = 3
  2. Solve for y: Now, we divide both sides of the equation by −3-3 to solve for y.\newline−3y/−3=3/−3-3y / -3 = 3 / -3\newliney=−1y = -1

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