Final answer:
The correct answer will show point F in the first quadrant and point G in the third quadrant of the Cartesian coordinate system.
Step-by-step explanation:
The student has asked for the correct coordinate plane that shows the locations of points F and G. This falls under the subject of mathematics, specifically dealing with the Cartesian coordinate system. In the given Cartesian coordinate system, the x-axis runs horizontally, while the y-axis runs vertically. Positive x-values are to the right of the origin, while negative x-values are to the left. Similarly, positive y-values are above the origin, and negative y-values are below it.
To locate point F with coordinates (1, 0.5), we move 1 unit to the right on the x-axis and 0.5 units up on the y-axis. For point G with coordinates (-1, -0.5), we move 1 unit to the left on the x-axis and 0.5 units down on the y-axis.
The correct coordinate plane would show point F in the first quadrant and point G in the third quadrant, with both points accurately placed according to their given coordinates.