SOLUTION: show how three lines in a plane can intersect in no points,exactly one point ,exactly two points or exactly three points

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Question 118850This question is from textbook discovering geometry an investigative approach
: show how three lines in a plane can intersect in no points,exactly one point ,exactly two points or exactly three pointsThis question is from textbook discovering geometry an investigative approach

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
No points, three parallel lines
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x-2%2C+x-3%2Cx-4%29+
One point, three non-parallel lines
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+6x%2B2%2C+x%2B2%2C-3x%2B2%29+

Two points, two parallel lines plus one non-parallel
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x-2%2C+x-3%2C-3x%29+
Three points, three non-parallel lines
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+-6x-2%2C+2x%2B5%2C+-x%2B4%29+