Hello!
The answer is:
The point "R" represents the coordinate (5,-3).
Why?
We need to remember that the given point is a plane point, which makes reference to a location according to a plane that has only two dimensions (x and y), for the planes, a point is represented by an x-coordinate and a y-coordinate being the point "p" represented like p(x,y)
We are given a point that has an x-coordinate equal to 5 and a y-coordinate equal to -3, being the point any point n(5,-3)
To answer the question, we need to find a point that has an x-coordinate equal to 5, and a y-coordinate equal to -3.
So, discarding from the different points shown in the graph, we have:
- Point P:
Looking on the coordinate plane, we have the point "P" has the following coordinates:
![x=-5\\y=3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zrg56dh0pysjji9jk173gjjq3q8jdnz8z4.png)
So, the P(-5,3) point does not match with the given point.
- Point Q:
Looking on the coordinate plane, we have the point "Q" has the following coordinates:
![x=5\\y=3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uybb96b4ws68dra9zkxm7lpdggth7upf7t.png)
So, the Q(5,3) point does not match with the given point.
- Point R,
Looking on the coordinate plane, we have the point "R" has the following coordinates:
![x=5\\y=-3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5ymqtczxujz3av7q8rpnlrimxkaymj9bhx.png)
So, the R(5,-3) point matches with the given point.
Hence, the point "R" represents the coordinate (5,-3).
Have a nice day!