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Find the yy-intercept of the line y=2x−9y = 2x - 9. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Slope-intercept form: find the slope and y-interceptright chevron icon

Full solution

Q. Find the yy-intercept of the line y=2x−9y = 2x - 9. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Definition of y-intercept: The y-intercept of a line is the point where the line crosses the y-axis. This occurs when the x-value is 00. To find the y-intercept, we substitute x=0x = 0 into the equation of the line.
  2. Substitute x=0x = 0: Substitute x=0x = 0 into the equation y=2x−9y = 2x - 9.\newliney=2(0)−9y = 2(0) - 9\newliney=−9y = -9
  3. Calculate y-intercept: The y-intercept is the y-value when x=0x = 0, which we have found to be −9-9.\newlineTherefore, the y-intercept of the line y=2x−9y = 2x - 9 is −9-9.

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