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Find the yy-intercept of the line 10x−3y=110x - 3y = 1. 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 10x−3y=110x - 3y = 1. 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. The equation of the line is 10x−3y=110x - 3y = 1. Let's substitute x=0x = 0 into the equation and solve for yy. 10(0)−3y=110(0) - 3y = 1 −3y=1-3y = 1
  2. Solve for y: Now, we divide both sides of the equation by −3-3 to solve for y.\newline−3y/−3=1/−3-3y / -3 = 1 / -3\newliney=−1/3y = -1/3

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