Answer
$5\sqrt2$
Work Step by Step
The distance $d$ from $P_1(x_1,y_1)$ to $P_2(x_2,y_2)$ is given by the formula
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.
Hence, using the formula above gives
$d=\sqrt{(-2-3)^2+(1-(-4))^2}\\
d=\sqrt{(-5)^2+5^2}\\
d=\sqrt{25+25}\\
d=\sqrt{50}\\
d=\sqrt{25(2)}\\
d=5\sqrt2$
