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Find the yy-intercept of the line y=56x+5y = \frac{5}{6}x + 5. 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=56x+5y = \frac{5}{6}x + 5. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Identify Equation Form: 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.
  2. Find y-intercept Value: To find the y-intercept, we need to identify the value of bb in the equation y=56x+5y = \frac{5}{6}x + 5.
  3. Analyze Independent Term: Looking at the equation, the term independent of xx is +5+5, which represents the yy-intercept.
  4. Final Y-intercept Calculation: Therefore, the y-intercept of the line y=56x+5y = \frac{5}{6}x + 5 is 55.

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