2018 AMC 12B Problems/Problem 3
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?
Solution 1
Using the slope-intercept form, we get the equations 
and 
. Simplifying, we get 
and 
. Letting 
in both equations gives the -intercepts: 
and 
, respectively. Thus the distance between them is 
(Giraffefun)
See Also
| 2018 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 2 |
Followed by Problem 4 |
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| All AMC 12 Problems and Solutions | |
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