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Find the yy-intercept of the line y=13x+56y = \frac{1}{3}x + \frac{5}{6}. 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=13x+56y = \frac{1}{3}x + \frac{5}{6}. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Identify y-intercept: Identify the y-intercept from the equation of the line. The equation of the line is given in slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept. In the given equation y=13x+56y = \frac{1}{3}x + \frac{5}{6}, the y-intercept is the constant term, which is 56\frac{5}{6}.
  2. Verify simplicity: Verify that the y-intercept is in its simplest form.\newlineThe y-intercept 56\frac{5}{6} is already in its simplest form as a proper fraction. There is no need to simplify it further.

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