What can be said of points with equal ordinates? with equal abscissa?

All vertical lines have the same x's (abscissa)

e.g. Plot (3,4) , (3,7) , (3,-1)

All horizontal lines have the same y's (ordinates)
e.g. Plot (3,4) , (2,4) , (-1,4)

Points with equal ordinates lie on a horizontal line. The y-coordinate, also known as the ordinate, represents the vertical position of a point on a graph. If two or more points have the same y-coordinate, this means that they lie at the same vertical level on the graph.

On the other hand, points with equal abscissa lie on a vertical line. The x-coordinate, also known as the abscissa, represents the horizontal position of a point on a graph. If two or more points have the same x-coordinate, this means that they lie at the same horizontal level on the graph.

In summary, points with equal ordinates lie on a horizontal line, while points with equal abscissa lie on a vertical line.

Points with equal ordinates have the same y-coordinate but can have different x-coordinates. On the other hand, points with equal abscissas have the same x-coordinate but can have different y-coordinates.

For example, let's consider a set of points: A(2, 3), B(5, 3), and C(8, 3). In this case, all these points have the same ordinate (y-coordinate) of 3, but different abscissas (x-coordinates).

Similarly, let's consider another set of points: D(4, 7), E(4, 9), and F(4, 12). In this case, all these points have the same abscissa (x-coordinate) of 4, but different ordinates (y-coordinates).

To determine if points have equal ordinates or abscissas, you can simply compare the y-coordinates or x-coordinates of the given points. If they are equal, then the points have either equal ordinates or equal abscissas respectively.