Question

What is the distance between the points P(-2, 3) and Q (-5, -6)?

Answer 1

sqrt((y2-y1)^2 + (x2-x1)^2)

The 2 points are endpoints of a line.

This line forms the hypotenuse of a right triangle.

That hypotenuse is
\[\sqrt{ \Delta y ^{2} + \Delta x ^{2} }\]

Answer 2

to get the distance between to (x,y) co-ordinates you can use the distance formula:
\[\sqrt{(y _{2}-y _1)^2 + (x_2-x_1)^2}\]
then you input your values like so:
\[\sqrt{(-6-3)^2 + (-5-(-2))^2}=......\]
off you go!