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Which of the following equations represents a vertical line?

  1. y=2x+3

  2. y=2

  3. x=-5

  4. x=5

The correct answer is: x=5

A y=2x+3 is not a vertical line. It is y-intercept form of a linear equation where slope is 2 and y-intercept is 3. As x increases, the line moves diagonally upwards creating a slope. B: y=2 is a horizontal line where y always has the same value of 2 regardless of the value of x. A vertical line has a constant value of x and can have any value for y. C: x=-5 is a vertical line where x always has the same value of -5 regardless of the value of y. However, the equation asked for a vertical line in terms of y, not x. D: This equation represents a vertical line where x always has the same value, which is 5, regardless of the value of y. A vertical line has an undefined slope and a constant x value.