I just need a brief explanation explanation with the answer

Solution
For this case we have the following info:
PR= 2/3
P= (0,0)
Q= (x,y)
R= (-12,0)
We can do this:
We can check for all the possible options in order to find the answer:
We have the following ratio;
[tex]\frac{PQ}{PR}=\frac{2}{3}[/tex]Then we have this:
[tex]PQ=\frac{2}{3}\cdot PR[/tex]the value of PR = 12 so then
PQ = 2/3 *(12)=8
then the answer is:
(-8,0)