option C
Explanation:
To determine the graph with the coordinates given, let's check and state some of the coordinates of each graph in the option:
[tex]\begin{gathered} \text{Given coordinates:} \\ (4\frac{1}{2},1)\text{ : x = 4}\frac{1}{2},\text{ y = 1} \\ (-2\text{ }\frac{1}{2},\text{ -2) : x = }-2\text{ }\frac{1}{2},\text{ y = -2} \end{gathered}[/tex]a) Coordinates: (-2, -3), (4, 4)
There is no point at -4 1/2 or -2 1/2 on this graph
b) coordinates: (-2, -3), (3, 1/2)
Tere is no x value at -4 1/2 or -2 1/2 on this graph
c) when x = -2 1/2, y = -2
when x = 4 1/2, y = 1
d) There is no x value at 4 1/2 on this graph. There is also no x value at -2 1/2 on this graph
Hence, the coordinate plane that contains points (4 1/2, 1) and (-2 1/2, -2) is option C