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What is the equation of the line that passes through the point (-2, -1) and is parallel to y = 4x + 8?

  1. y = -4x - 7

  2. y = -4x - 10

  3. y = 4x - 8

  4. y = 4x - 10

The correct answer is: y = -4x - 10

A parallel line has the same slope as the given line, which in this case is 4. The equation y = -4x - 7 has a slope of -4, so it is not parallel. The equation y = 4x - 8 has a different y-intercept, so it is also not parallel. The equation y = 4x - 10 has the same slope and a y-intercept that is offset by -2, which is what we need to pass through the point (-2, -1), making it the correct answer.