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Find the yy-intercept of the line 7x+14y=−307x + 14y = -30. 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 7x+14y=−307x + 14y = -30. 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 7x+14y=−307x + 14y = -30.\newline7(0)+14y=−307(0) + 14y = -30\newline14y=−3014y = -30
  2. Solve for y: Now, we divide both sides of the equation by 1414 to solve for y.\newline14y14=−3014\frac{14y}{14} = \frac{-30}{14}\newliney=−3014y = \frac{-30}{14}
  3. Divide by 1414: Simplify the fraction −3014-\frac{30}{14} to its simplest form.\newliney=−157y = -\frac{15}{7}

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