Let E = (2,7) and F = (10,1). On the line through E and F, there are two points that are 3 units from E. Find coordinates for both of them.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Let E = (2,7) and F = (10,1). On the line through E and F, there are two points that are 3 units from E. Find coordinates for both of them.

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Thank you! I don't quite understand where the formula to find point P comes from, or which formula it is? How do we know to multiply m by Point F and n by Point E? And shouldn't Point Z have a positive Y value if it's supposed to be 3 units from (2,7)? Thank you!

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