SOLUTION: what can be said of points with equal abscissa?with equal ordinates?

Question 42839: what can be said of points with equal abscissa?with equal ordinates?

Found 2 solutions by AnlytcPhil, psbhowmick:
Answer by AnlytcPhil(1806) (Show Source): You can put this solution on YOUR website!

what can be said of points with equal abscissa? "Abscissa" is a fancy name for the 1st coordinate, or "x-coordinate" Let's plot some and see. Below I have plotted (3,7), (3,3), (3,-4) and (3,-8), all having the same abscissa, 3. Notice that they all lie on the same vertical line. Incidentally the equation of that vertical line is simply this: x = 3 ---------------------------------------------------- with equal ordinates? "Ordinate" is a fancy name for the 2nd coordinate, or "y-coordinate" Let's plot some and see. Below I have plotted (-6,-4), (3,-4), (4,-4) and (7,-4), all having the same ordinate, -4. Notice that they all lie on the same horizontal line. Incidentally the equation of that horizontal line is simply this: y = -4 Edwin

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
If two points have equal abscissae then they lie on a straight line parallel to the y-axis.
Their abscissa determines how far the straight line is from the y-axis.
If their abscissae are positive [say points A (4,6) and B (4,-8)] then the straight line lies on the right side of y-axis and at a distance equal to the common abscissa (here 4).
However, if their abscissae are negative [say points C (-4,6) and D (-4,-8)] then the straight line lies on the left side of y-axis and at a distance equal to the magnitude of the common abscissae (here 4; as magnitude of (-4) is 4; irrespective of sign]).

If two points have equal ordinates then they lie on a straight line parallel to the x-axis.
Their ordinate determines how far the straight line is from the x-axis.
If their ordinates are positive [say points E (9,6) and F (5,6)] then the straight line lies above the x-axis and at a distance equal to the common ordinate (here 6).
However, if their ordinates are negative [say points G (9,-6) and H (5,-6)] then the straight line lies below the x-axis and at a distance equal to the magnitude of the common ordinate (here 6; as magnitude of (-6) is 6; irrespective of sign]).

See the graph.

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