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What is an equation of the line that is parallel to y = 2x + 3 and passes through the point (- 3, 5)?

  1. y = -2x + 12

  2. y = 2x + 8

  3. y = - 2x - 3

  4. y = 2x - 8

The correct answer is: y = 2x - 8

An equation for a line parallel to y = 2x + 3 would also have a slope of 2. This means that for any given x-coordinate, the y-coordinate would increase by 2 units. The point (-3, 5) has a y-coordinate that is already 2 units higher than what would be given by the equation y = 2x - 3. Therefore, y = 2x - 8 is the only equation that satisfies both requirements and is therefore the correct answer. Option A and C are incorrect because they have a slope of -2, which is not parallel to the given line's slope of 2. Option B is incorrect because even though it has the same slope as the given line, its y-intercept is different and therefore does not include the point (-3,5).