Answer
The distance between the two points is $\sqrt {229}$.
Work Step by Step
The distance between two points is given by the following formula:
$D = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2}$
Let's plug in the same points into this formula to find the distance between them:
$D = \sqrt {(-15 - 0)^2 + (-2 - 0)^2}$
Simplify what is inside the parentheses:
$D = \sqrt {(-15)^2 + (-2)^2}$
Evaluate the exponents:
$D = \sqrt {225 + 4}$
Add to simplify:
$D = \sqrt {229}$
The distance between the two points is $\sqrt {229}$.