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Find the yy-intercept of the line 5x+2y=−55x + 2y = -5. 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 5x+2y=−55x + 2y = -5. 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, we need to set xx to 00 and solve for yy.\newlineSubstitute x=0x = 0 into the equation 5x+2y=−55x + 2y = -5.\newline5(0)+2y=−55(0) + 2y = -5\newline2y=−52y = -5
  2. Substitute x=0x = 0: Now, we divide both sides of the equation by 22 to solve for yy.2y2=−52\frac{2y}{2} = \frac{-5}{2}y=−52y = \frac{-5}{2}

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