A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. Find Q. You must show all work to receive credit.

Question

prince1342 · Answer

@Michele_Laino this confues me, help please

mathstudent55 · Answer

|dw:1456087929920:dw|

prince1342 · Answer

So how do I find Q? By taking a wild guess?

mathstudent55 · Answer

Q can be in two different positions.

mathstudent55 · Answer

You must place Q in a way that it is 1/4 of the way from one end and 3/4 of the way from the other end.

prince1342 · Answer

I'm confused as to how to apply that

mathstudent55 · Answer

Before we apply it, do you understand how the 3:1 ratio turns into 1/4 and 3/4 of the way?

prince1342 · Answer

Yeah. 3+1=4 then have 1/4 and 3/4

mathstudent55 · Answer

Excellent.

mathstudent55 · Answer

Let's say we decide to place it closer to C than to A.

mathstudent55 · Answer

|dw:1456088248262:dw|