Question

Find a point e on cd such that the ratio of ce to cd is 3/8.-7-5-3-1

Answer 1

The question is asking to choose among the following choices that states the value of the point e if the ration of ce to cd is 3/8, base on that and on my further calculation, I would say that the value of point e is -1. I hope you are satisfied with my answer and feel free to ask for more 

Answer 2

the picture in the attached figure

we have

the x- coordinate of point C is equal to $-9$

the x- coordinate of point D is equal to $7$

Find the distance CD

the distance CD is equal to

$dCD=7-(-9)\\ dCD=16 units$

we know that

$\frac{CE}{CD} =\frac{3}{8} \\ \\ 8CE=3CD\\ CE=\frac{3}{8}CD$

Find the distance CE

$CE=\frac{3}{8}CD\\ \\ CE=\frac{3}{8}*16\\ \\ CE=6units$

Find the coordinate of point E

$Point.E=Point.C+distance.CE\\ Point.E=-9+6\\ Point.E=-3$

therefore

the answer is

The coordinate of point E is $-3$