I have no clue to this. Please help. Line segment CD has endpoints with coordinates (1,2) and (9,6). What is the location for point E so that E divides CD into the ratio 3:1?

Answer 1

You want E to be 3/4 of the way from C to D.

So, for both x and y, you want to go 3/4 of the distance from C to D.

The x-coordinates differ by 8
The y-coordinates differ by 4

So, you want to add (6,3) to C, making E=(1,2)+(6,3)=(7,5)