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What is the equation of a line whose slope is 0 and y-intercept is 5?

  1. y=0x+5

  2. y=0x

  3. y=5

  4. y=x+5

The correct answer is: y=0x+5

A line with a slope of 0 means that the line is horizontal and does not increase or decrease in y values. Therefore, the equation must only have a constant term, which is the y-intercept of 5. Additionally, the y-intercept always has the form y=mx+b, where m is the slope and b is the y-intercept. Since the slope is 0, the equation becomes y=0x+5, which is equivalent to y=5. The other options are incorrect because they do not fit the given criteria. Option B has a slope of 0 but no y-intercept term, which means the line would pass through the origin and not have a y-intercept of 5. Option C only has a y-intercept term and no slope component, which would result in a vertical line. Option D has a slope of 1 (