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The equation of a horizontal line is y = constant (e.g you might have y=2 if your horizontal line is 2 up the y axis).

For a vertical line the equation will be x=constant so if you wanted the equstion of the vertical line that crosses the x axis at 5 it would be x=5.

If you want the equations of the horizontal and vertical axis then they are:
horizontal axis: y=0
vertical axis: x=0

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