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What is the equation of the line parallel to the line y = –2x + 6 with the same y-intercept of 6?

  1. y = 2x + 6

  2. y = –2x + 12

  3. y = –2x – 6

  4. y = 2x – 8

The correct answer is: y = –2x + 12

A line parallel to y = –2x + 6 would have the same slope, but different y-intercept. Option A and D have the same slope, but different y-intercepts, so they are not parallel to the given line. Option C has the same slope and opposite y-intercept, so it is not parallel to the given line. Option B has the same slope and y-intercept, making it the correct answer for a line parallel to y = –2x + 6.