Answer
$(4,18)$
Work Step by Step
In this case the transformation is linear if $T(v_1+v_2)=T(v_1)+T(v_2)$ and $T(av_1)=aT(v_1)$ for any $v_1,v_2$ in the domain and any $a$ scalar.
Hence, here
$T(2,4)=2T(1,-1)+3T(0,2)=2(2,-3)+3(0,8)=(4,-6)+(0,24)=(4,18)$
