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smc

algebra senior

Problem

A line with slope intersects a line with slope at the point . What is the distance between the -intercepts of these two lines?
(A)
(B)
(C)
(D)
Solution
Using point slope form, we get the equations and . Simplifying, we get and . Letting in both equations and solving for gives the -intercepts: and , respectively. Thus the distance between them is .
Final answer
B