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The graph of which of the following equations is a straight line parallel to the graph of y = 2x?

  1. 2x - y = 4

  2. 2x + y = 2

  3. 4x - y = 4

  4. 2x - y = 4

The correct answer is: 4x - y = 4

The equation y = 2x represents a line with a slope of 2. This means that the other line must also have a slope of 2 to be parallel to it. In option A, the slope is 2, but the y-intercept is not the same, making the two lines not parallel. In option B, the slope is also 2, but the y-intercept is not the same. Option D has the same slope and y-intercept, but the equation is the same as option A, which we have already determined is not parallel to y = 2x. Option C, on the other hand, has the same slope and y-intercept as y = 2x, making it the only correct answer.