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Find the yy-intercept of the line 16x+3y=−2116x + 3y = -21. 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 16x+3y=−2116x + 3y = -21. 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 16x+3y=−2116x + 3y = -21.\newline16(0)+3y=−2116(0) + 3y = -21\newline3y=−213y = -21
  2. Substitute xx into equation: Now, divide both sides of the equation by 33 to solve for yy.3y3=−213\frac{3y}{3} = \frac{-21}{3}y=−7y = -7

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