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Find the yy-intercept of the line y=8x−7y = 8x - 7. 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=8x−7y = 8x - 7. 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 yy-intercept of a line is the point where the line crosses the yy-axis. This occurs when the xx-value is 00.
  2. Substitute x=0x = 0: To find the y-intercept, we substitute x=0x = 0 into the equation of the line.\newlineSo, we calculate y=8(0)−7y = 8(0) - 7.
  3. Calculate y=−7y = -7: Performing the calculation, we get y=0−7y = 0 - 7, which simplifies to y=−7y = -7.

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