Question

Find the distance between the two points (-4, -5) and (1, -2)

Answer 1

The distance between the two points $A(x_A;\ y_A);\ B(x_B;\ y_B)$

$d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

We have A(-4; -5) and B(1; -2). Subtitute:

$d=\sqrt{(1-(-4))^2+(-2-(-5))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}$