Answer
See image
.
Work Step by Step
In a plane, we define a rectangular coordinate system by drawing two perpendicular number lines, intersecting at their respective zeros.
The horizontal number line is called the x-axis, and the vertical is the y-axis.
The intersection of the axes is called the origin.
An ordered pair corresponds to each point in the plane, with the first coordinate taken from the x-axis, and the second from the y-axis.
---
Plotting $(-\displaystyle \frac{9}{2},-4)$,
we start at the origin,
move $4.5$ units to the leftt,
and then $4$ units down.
The point is in quadrant III.
See image
.
