confused on graphed linear equation.?

Question

I am working on homework and one my problems is:
A=0, B=1, C=2.
0x+1y=2
0+y=2
y=2
I worked the problem out and got
x | y
____
-6 | 8
-2 | 4
3 | -1
4 | -2
9 | -7
When I put in my answer (homework is done on plato learning interactive math program) it said I was WRONG. i graphed it out on graphing paper it still said I was wrong.
It says the answer is:
All ordered pairs which satisfy the equation y=2 have a y-value of 2 regardless of value x.

could someone explain this, because it didn't explain WHY that is it? In my first lesson Graphing lines 1 (I'm in Graphing lines 2 now) it said to graph the equation to where the x-y axis added up to the sum of the equation and use the plotted number points for the y axis to go along side the x axis on the table for the equation.

I'm SO confused. I have a screen cap if anyone needs it, just email me@ friskerbizit at yahoo dot com I'm extremely confused!!!!

JuJu, ok I "think" I understand. So, the numbers in the X-axis of the table, such as -6, -2, 3, 4, and 9 are "Constants" So the Y-axis numbers will always be whatever y=?? correct?
and I suppose this can be the same for having constants on the Y-axis (vertically rather than horizontally?)

Thank you so much. I think I have it. :)

Answer 1

X and Y represent co-ordinates on the axes also known as ordered pairs.

Your solution at the start had y=2 so what ever x value you have the y value will = 2 (1, 2) (2, 2) (3, 2) (-2, 2), (-6, 2) etc this will give you a horizontal line through the y axes at y=2 ie a line that is parallel to the x axis through 2

Answer 2

Your equation is Ax+By = C
Since a=0 and B=1 and C=2, the equation becomes:
0x + 1y = 2, or
y=2
There is no x in this equation. Just y
The graph of this equation is a straight line parallel to the x-axis and passing through the point (0,2).

So no matter what value of x you select, y = 2.
So some of the ordered pairs would be (-100,2), (-2,2),(0,2), (12,2), (500,000,2).
y is always =2 regardless of value of x.

The same thing would occur if the equation were x = 5. This would be a line parallel to the y-axis and every point on the line would have a vaue of x = 5 , no matter what the value of y.
Some of the points would be (5,1000), (5,10),( 5,0),(5,-100,000).