SOLUTION: If (2,3) satisfies a linear equation, does (3,2)? How do i create an example to support my answer?

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!

RELATED QUESTIONS
Question: Create systems of linear equations with each possible number of solutions.... (answered by funmath)

how do i write an equation in slope-intercept form for the line that satisfies each set... (answered by jim_thompson5910)

Explain why having a significant linear correlation does not imply causality. Give an... (answered by solver91311)

my homework question is Write a polynomial f(x) that satisfies the given... (answered by solver91311)

how do I write an equation in slope-intercept form that satisfies the condition.... (answered by venugopalramana)

Write an equation for the linear function f(x) that satisfies the condition f(2) = 8 and... (answered by Fombitz)

I was able to solve the problem correctly (I think) but I am at a loss for the rest. I... (answered by stanbon)

I got the first three questions,but I am having a hard time coming up with the nonlinear (answered by oberobic)

For the functioin y= 1/ x-2 Solve y if x- -2, -1, 0, 1, 3 I got an example of how to do (answered by longjonsilver)