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Find the yy-intercept of the line y=313x+15y = \frac{3}{13}x + \frac{1}{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=313x+15y = \frac{3}{13}x + \frac{1}{5}. 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=313x+15y = \frac{3}{13}x + \frac{1}{5}, the y-intercept is the constant term, which is 15\frac{1}{5}.
  2. Verify identification: Verify that the y-intercept is properly identified. The y-intercept is the value of yy when xx is 00. Plugging x=0x = 0 into the equation y=313x+15y = \frac{3}{13}x + \frac{1}{5} gives us y=15y = \frac{1}{5}, confirming that 15\frac{1}{5} is indeed the y-intercept.

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