Question 410651
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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