Answer
1st pair: $(-3,4)$ and $(2,4)$
2nd pair: $(-3,-6)$ and $(2,-6)$
Work Step by Step
The pair of coordinates given is $(-3,-1)$ and $(2,-1)$. These are two vertices of a square. A square has sides of equal length.
Knowing this, the distance between the two vertices in the x-axis must also be the same distance in the y-axis to another pair of vertices. This distance can either go in the positive direction of the y-axis or the negative direction, which is why there are two pairs.
The distance is $2 - (-3)=5$
Thus the 1st pair is $(-3,(-1+5))$ and $(2,(-1+5))$, or $(-3,4)$ and $(2,4)$.
And the 2nd pair is $(-3,(-1-5))$ and $(2,(-1-5))$, or $(-3,-6)$ and $(2,-6)$.