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Find the yy-intercept of the line y=83x−20y = \frac{8}{3}x - 20. 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=83x−20y = \frac{8}{3}x - 20. 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 xx-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=83x−20y = \frac{8}{3}x - 20.\newliney=83(0)−20y = \frac{8}{3}(0) - 20\newliney=0−20y = 0 - 20\newliney=−20y = -20
  3. Final y-intercept value: The y-intercept is the y-value when x=0x = 0, which we have found to be −20-20. This is an integer and does not need to be simplified further.

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