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