Question

What is the distance between `(-4, 3)` and `(-2, 4)`?

Answer 1

`sqrt(5)`

Explanation:

The distance between two points `(x_1,y_1)` and `(x_2,y_2)`
is given by the Pythagorean Theorem as
`color(white)("XXX")d= sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

In this case
`color(white)("XXX")d= sqrt(2^2+(-1)^2) = sqrt(5)`

The relationship between the point can be seen in the image below: