Respuesta :
Two points give you a line. A third point (often called a check-point) is used to confirm the accuracy of your first two points. If all three line up, you have confirmed you have the correct line.
For any two points that we have, we can find a line that passes through them, so the first part is true, only two points are needed to determine a line.
Then you say:
"why are three ordered pair solutions or points found for a linear equation"
A linear equation is something of the form:
y = a*x + b
Where we assume that you know a and b.
Given that case, we can see that we have infinite solutions.
Suppose that you want to solve this for y, then for each possible value of x you will have a different solution, and you can have infinite values of x there, so there are infinite solutions.
Now, what I think you are asking is:
Why we should use 3 points to check if a relation is linear or not?
Well, exactly for the first thing you said. We always can find a line that passes through two given points, but that is not the case for 3 given points.
So, if in a given relation we use 3 points, and we can see that these are collinear, then we can conclude that the relationship gives a linear equation (ideally you could use more than 3 points, but usually is enough)
If you want to learn more, you can read:
https://brainly.com/question/2263981