Question 1063259
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Let's say you have four points A,B,C,D plotted on the same xy grid. Let's further say that you know A and B lie on the same line. So that means we can draw a line through A and B. Call this line m.


If C and D are on the other line, then draw a line through those two points. Call this line n.


There are 3 different possible scenarios


Scenario 1: Line m and line n cross at exactly 1 point. This is the point of intersection and it is the solution to the system. This system has 1 solution.


Scenario 2: The two lines are parallel. This can be visually confirmed or you can determine the slope of each line. The two lines would have equal slopes but different y intercepts if they are parallel. There are no solutions (since the lines never cross)


Scenario 3: The two lines are actually one in the same. One line is perfectly right on top of the other line. This means there are infinitely many solutions. 
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