Sophie wants to plot the point (8,5). She starts at the origin, moves 8 units up and 5 units to the right, and plots her point. Explain what Sophie did wrong and find the point she actually plotted.

Question

To plot the point (8,5) start at the origin and move ______________. Sophie actually plotted the point _______.

1. choose answer 13 units to the right, 8 unit to the right and 5 units up, 8 units to the right and 5 units to the left 8 units up and 5 units down
2. choose answer (0,3) (3,0) (5,8) (13,0)

Answer 1

To plot the point (8,5), one should start at the origin (0,0) and then move 8 units to the right (along the x-axis) and 5 units up (along the y-axis).

Sophie, however, incorrectly moved 8 units up (which is actually the y-coordinate) and 5 units to the right (which is actually the x-coordinate). This means she moved in the opposite direction to what was required for plotting the point.

So, the corrected instruction is: To plot the point (8,5) start at the origin and move 8 units to the right and 5 units up.

Since she moved 8 units up and 5 units to the right, she actually ended up at the point (5,8).

Thus:

1. To plot the point (8,5) start at the origin and move 8 units to the right and 5 units up.
2. Sophie actually plotted the point (5,8).