2018 AMC 12B Problem #3
Algebra
Level
2
A line with slope 2 intersects a line with slope 6 at the point What is the distance between the -intercepts of these two lines?
This problem is part of the 2018 AMC 12B .
5
20
10
50
25
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1 solution
Since both lines go through (40,30), it's easily found that the formulas of the lines are y = 2x - 50 and y = 6x - 210. Setting y = 0 for both yields x = 25 and x = 35. So the difference is 10.