Answer:
C (-1,6).
Explanation:
This is a horizontal line segment since A and B have the same y-coordinate. Point P will also have the same y-coordinate since P is suppose to be on line segment AB.
So the only choice that has the y-coordinate as 6 is C. So we already know the answer is C. There is no way it can be any of the others.
So we are looking for the x-coordinate of point P using the x-coordinates of A and B.
A is at x=-3
B is at x=0
The length of AB is 0-(-3)=3.
AP+PB=3
AP/PB=2/1
This means AP=2 and PB=1 since 2+1=3 and AP/PB=2/1.
So if we look at A and we know P is 2 units away (after A) then -3+2=-1 is the x-coordinate of P.
OR!
IF we look at B and we know P is 1 unit away (before B), then 0-1=-1 is the x-coordinate of P.