Answer :
Given the coordinates of the points:
P: ( 3, 1 )
Q: ( 1, 4 )
R: ( 2, -5 )
We need to change the given points using the rule:
[tex](x,y)\rightarrow(y,-x)[/tex]So, the coordinates of the points P'Q'R' will be as follows:
[tex]\begin{gathered} P(3,1)\rightarrow P^{\prime}=(1,-3) \\ Q(1,4)\rightarrow Q^{\prime}=(4,-1) \\ R(2,-5)\rightarrow R^{\prime}(-5,-2) \end{gathered}[/tex]So, the answer will be:
P' ( 1, -3 )
Q' ( 4, -1)
R' (-5, -2)