Question 360958: If (2,3) satisfies a linear equation, does (3,2)? How do i create an example to support my answer?
Answer by neatmath(302)   (Show Source):
You can put this solution on YOUR website! Not necessarily!
It is easy to make a linear equation that will satisfy the first point (2,3)
For example, one equation that would work is 
If you plug in the point (2,3) it will be a true statement, ie 
Now use the other point, plugging in (3,2) into the equation.
You will get a false statement, ie 
We could find a line that has (2,3) and (3,2) as solutions, but it looks like in this example you needed to find a way to show that both points will not necessarily be a solution to the same linear equation.
Try to find another linear equation that (2,3) would be a solution for, but (3,2) would not, and then you will have support for your answer.
I hope this helps!
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