A grid shows the positions of a subway stop and your house. The subway stop is located at (4, -2), and your house is located at (-9, -6). What is the distance, to the nearest unit, between your house and the subway stop?
A. 6
B. 9
C. 14
D. 15
To find the distance between two points on a grid, we can use the distance formula, which is $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.
Plugging in the coordinates, the distance between the subway stop and your house is $\sqrt{(-9 - 4)^2 + (-6 - (-2))^2} = \sqrt{(-13)^2 + (-4)^2} = \sqrt{169 + 16} = \sqrt{185}$.
To find the nearest unit distance, we need to find the integer closest to $\sqrt{185}$. We know that $\sqrt{169} = 13$, so the square root of any number greater than 169 will be greater than 13. We can tell that $\sqrt{185}$ is slightly greater than $\sqrt{169}$, so the closest integer distance is $\boxed{15}$.