If the point's ordinate, or y-coordinate, is zero then it must lie on the x-axis somewhere.
To locate a point on a plane you need two coordinates. You can't guess the second coordinate based on the first one - or vice versa. The other number can be anything.
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Since it is possible to draw a line through any two points, if there is a point that does not lie on the same line, it must be a third point.
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
In Quadrant I a point would lie if its abscissa and ordinates are equal.
The 2nd quadrant and 4th quadrant would be where a point would lie if it's abscissa and ordinate are numerically equal but of opposite signs.
2nd and 3rd quadrant
In Quadrant I a point would lie if its abscissa and ordinates are equal.
The fourth quadrant
If the point's ordinate, or y-coordinate, is zero then it must lie on the x-axis somewhere.
It's somewhere on the y-axis.
To locate a point on a plane you need two coordinates. You can't guess the second coordinate based on the first one - or vice versa. The other number can be anything.
It would lie on the y axis
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Yes as long as the two lines are intersecting at that point. For example if you looked at an x-y axis, the point (0,0) would lie on both the x and y axis or two different lines.