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Find the yy-intercept of the line 2x+2y=−102x + 2y = -10. 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 2x+2y=−102x + 2y = -10. 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 2x+2y=−102x + 2y = -10.\newline2(0)+2y=−102(0) + 2y = -10\newline2y=−102y = -10
  2. Substitute x=0x = 0: Now, we divide both sides of the equation by 22 to solve for yy.2y2=−102\frac{2y}{2} = \frac{-10}{2}y=−5y = -5

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