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Find the yy-intercept of the line y=−158x+9y = -\frac{15}{8}x + 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=−158x+9y = -\frac{15}{8}x + 9. 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=−158x+9y = -\frac{15}{8}x + 9, the y-intercept is the constant term, which is 99.
  2. Verify identification: Verify that the y-intercept is properly identified.\newlineThe y-intercept is the value of yy when xx is 00. Plugging x=0x = 0 into the equation y=−158x+9y = -\frac{15}{8}x + 9 gives us y=9y = 9, confirming that 99 is indeed the y-intercept.

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