Which graph correctly shows the positions of points (3, 5), (1, −3), (−4, 0), and (−2, −5)?
The position of point D(3, 5) on the graph can be obtained by moving 3 units horizontally to the right from the origin (0, 0), and then vertically upwards by 5 units.
The position of point E(1, −3) on the graph can be obtained by moving 1 unit horizontally to the right from the origin (0, 0), and then vertically downwards by 3 units.
The position of point F(−4, 0) on the graph can be obtained by moving 4 units horizontally to the left from the origin (0, 0).
The position of point G(−2, −5) on the graph can be obtained by moving 2 units horizontally to the left from the origin (0, 0), and then vertically downwards by 5 units.
Thus, points D(3, 5), E(1, −3), F(−4, 0), and G(−2, −5) can be plotted on a graph as: