Points of Intersection a) If two lines have different

Chapter 7, Problem 7.1.59

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Points of Intersection

a) If two lines have different slopes, what is the maximum possible number of points of intersection?

b) If three lines all have different slopes, what is the maximum possible number of points of intersection of any two lines?

c) If four lines all have different slopes, what is the maximum possible number of points of intersection of any two lines?

d) If five lines all have different slopes, what is the maximum possible number of points of intersection of any two lines?

e) Is there a pattern in the number of points of intersection? If so, explain the pattern. Use the pattern to determine the maximum possible number of points of intersection for six lines.

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