To find the location where Paul drops the groceries, we need to determine the midpoint between his home and the grocery store.
The coordinates of Paul's home are (-6, 0) and the coordinates of the grocery store are (6, 3).
The formula for finding the midpoint \((x_m, y_m)\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ (x_m, y_m) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Plugging in the coordinates of home and store:
\[ (x_m, y_m) = \left( \frac{-6 + 6}{2}, \frac{0 + 3}{2} \right) = \left( \frac{0}{2}, \frac{3}{2} \right) = (0, \frac{3}{2}) \]
Thus, the location where Paul drops the groceries is (0, 3/2).
The correct response is: (0, 3/2)
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