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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