Answer
$$\langle-1,-12\rangle$$
Work Step by Step
$\vec{RS}$ is the vector from point $R:(-2,5)$ to $S:(2,-8).$
The change in the x-direction is
$$2-(-2)=4.$$
The change in the y-direction is
$$-8-5=-13.$$
So the vector can be written in component form as
$$\vec{RS}=\langle4,-13\rangle.$$
$\vec{RQ}$ is the vector from point $R:(-2,5)$ to $Q:(3,4).$
The change in the x-direction is
$$3-(-2)=5.$$
The change in the y-direction is
$$4-5=-1.$$
So the vector can be written in component form as
$$\vec{RQ}=\langle5,-1\rangle.$$
To get the difference of two vectors, subtract components.
$$\vec{RS}-\vec{RQ}=\langle4,-13\rangle-\langle5,-1\rangle=\langle-1,-12\rangle$$
