Will I have to change the coordinates using the dilation in order to find the image?

Question

The endpoints PQ are P(-2,6) and Q(3,1). Determine and state the length, in simplest radical form, of P’Q’, the image of PQ after a dilation of 2 centered at the origin.

Answer 1

I'm using trig.

2+3=5

6-1=5

a^2+b^2=c^2

25+25=50^.5=7.071...............

Answer 2

The image has the end points P'(-2, 12) and Q'(6, 2).