Find the distance between the points $(-5,-2)$ and $(7,3)$.
I recall that the distance formula for two points $(x_1, y_1)$ and $(x_2, y_2)$ is $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. I plug in the given coordinates into this formula: $d = \sqrt{(7 - (-5))^2 + (3 - (-2))^2}$. I simplify the expression inside the square root: $d = \sqrt{(12)^2 + (5)^2}$. I evaluate the squares: $d = \sqrt{144 + 25}$. I add the numbers under the square root: $d = \sqrt{169}$. I find the square root of 169: $d = 13$. 