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Find the yy-intercept of the line y=−9x+29y = -9x + \frac{2}{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=−9x+29y = -9x + \frac{2}{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 in the slope-intercept form y=mx+by = mx + b is the value of bb, where mm is the slope of the line.
  2. Given equation in slope-intercept form: The equation of the line is given in slope-intercept form as y=−9x+29y = -9x + \frac{2}{9}. Here, −9-9 is the slope (mm), and 29\frac{2}{9} is the y-intercept (bb).
  3. Finding the y-intercept: To find the y-intercept, we do not need to perform any calculations since it is already given in the equation as 29\frac{2}{9}.

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