Question 410651: Please help me answer this question.
1.How many lines can be drawn through two different points in the plane?
2.How many lines can be drawn through one point in the plane?
3.How many lines can be drawn through four points in the plane, three of which are collinear?
4.How many lines can be drawn through any three points in the plane?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Please help me answer this question.
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Note: It takes two points to determine a line.
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1.How many lines can be drawn through two different points in the plane?
Ans: 2C2 = 1
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2.How many lines can be drawn through one point in the plane?
Ans: An infinite number.
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3.How many lines can be drawn through four points in the plane, three of which are collinear?
Ans: 4 non-collinear points determine 4C2 = 6 lines
The 3 collinear points determine 3C2 = 3 line SEGMENTS but only one line.
So, the answer is 6-2 = 4
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4.How many lines can be drawn through any three points in the plane?
Ans: 3C2 = 3
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Cheers,
Stan H.
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