Is the point (0, 8) on the x-axis or y-axis? How do you know

Answer 1

You can read (0, 8) as: when x is 0, y is 8. For whichever coordinate is equal to 0 (in this case, the x coordinate), the value of the other coordinate (as long as it is nonzero) will "steal the show". In other words, since x is hidden in the shadows with its position of 0 along the x-axis, the y-axis is now able to "steal the show" and claim to point to be on its line.

It's reversed for if you were to ask about the ordered pair (8, 0). Now, the x-coordinate is "stealing the show", and the point will therefore be on the x-axis.