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What is the equation of the line that is parallel to y = -2x + 7 and passes through (-2, 6)?

  1. y = -2x+5

  2. y = 2x + 15

  3. y = 2x - 5

  4. y = -2x + 9

The correct answer is: y = -2x + 9

A) The line y = -2x + 5 is not parallel to y = -2x + 7 as it has the same slope but a different y-intercept. B) The line y = 2x + 15 is not parallel to y = -2x + 7 as it has a different slope. C) The line y = 2x - 5 is not parallel to y = -2x + 7 as it has the same slope but a different y-intercept. D) The line y = -2x + 9 has the same slope of -2 and passes through the point (-2, 6), making it parallel to y = -2x + 7. The y-intercept is different, but that is because it passes through a different point. The equation for a parallel line can have the same slope