Math Stinger # 130
by Steve Edwards, Professor of Mathematics
A list of numbers is in arithmetic progression if the
difference between
adjacent numbers is the same for each adjacent pair. So
15, 20, 25, 30 and 7, 10, 13, 16
are two lists that are in arithmetic progression.
Consider all lines given by equations Ax + By + C = 0,
where A, B, C is a list of numbers in arithmetic progression.
What can you say about the graphs of these lines?
Hint: Graph them!!
Prove your result.