IV
If the point's ordinate, or y-coordinate, is zero then it must lie on the x-axis somewhere.
If a point has an abscissa of 5, it means that its x-coordinate is 5. The point could lie anywhere along the vertical line where x equals 5, which extends infinitely in the positive and negative directions on the y-axis. Therefore, the point could be represented as (5, y), where y can be any real number.
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.
5
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.
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.
A point with a zero abscissa (x-coordinate) and a negative ordinate (y-coordinate) would lie in the fourth quadrant of the Cartesian coordinate system. In this quadrant, the x-coordinate is positive or zero, while the y-coordinate is negative. This means that the point would be to the right of the y-axis (positive x-direction) and below the x-axis (negative y-direction).
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
5
5