Final answer:
The translation rule (x,y) → (x-7,y+1) moves a figure 7 units to the left and 1 unit upward on a coordinate plane.
Step-by-step explanation:
When a figure is translated according to the rule (x,y) → (x-7,y+1), this means that for any point on the figure, you subtract 7 from the x-coordinate and add 1 to the y-coordinate.
Considering our conventional understanding that a positive or rightward movement on the x-axis is positive and leftward is negative, we can infer that subtracting 7 would move the figure 7 units to the left.
Similarly, a positive or upward movement on the y-axis is positive, so adding 1 moves the figure 1 unit upward. Therefore, the figure is translated left 7 units and up 1 unit.