How to Draw in a Coordinate System

In this case there are two points that satisfy the demand for a right triangle. If you move along the $x$-axis to $x=4$, you can turn $90$${}^{\circ }$ and move directly to the point $(4,2)$. That means you can choose the point $(4,0)$ to make a right triangle. If you move along the $y$-axis to $y=2$, you can turn $90$${}^{\circ }$ to the right and move straight to the point $(4,2)$. That means you can choose the point $(0,2)$ to make a right triangle as well.

In this case you first mark the center on the graph. Then, set up your draft compass with distance 3 between the legs. Put the point of the compass in the center and make a circle.

There are multiple solutions to this problem, but you decide you will consider only the square with sides parallel to the $x$- and $y$-axes.

First, mark the points you already know: $(-3,-2)$ and $(2,3)$. Then you find the distance between the $x$ values ($2-(-3)=2+3=5$) and the distance between the $y$ values ($3-(-2)=3+2=5$). Choose one of the given points. Move 5 in the $x$ direction towards the other point. Mark a point. Next, move 5 in the $y$ direction from your chosen point towards the other point and mark that point. Those are the final points of the square.