Math CentralQuandaries & Queries


Question from Rogerson, a student:

The point F is on the line through D(-4, 0) and E(2, 6) so that DF=4DE. Find the coordinates of F.


Suppose the point F has coordinates (p, q). I can help you get started on finding p and you can then modify what I have done to find q.

First I would draw a diagram and label it.


The key here is that triangles FDB and EDA are similar. You are told that |FD|/|ED| = 4. Can you now find p?


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