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)
