This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Whenever we need to find the distance of two point we are looking for the hypotenuse of a right triangle.

The Pythagorean Theorem states that:

The Pythagorean Theorem applies to right triangles only. a and b are the side lengths of the legs while c is the length of the hypotenuse.

In a Cartesian plane the side lengths a and b are represented like this:
(x_a-y_a)=a \\ (x_b-yb)=b

So the Pythagorean Theorem would be:

We have (x_a,y_a) as the coordinates of her house or (2,0)
and (x_b,y_b) as the coordinates of her school or (0,-2)

We substitute the values to the Pythagorean theorem:
c^2=(2-0)^2+(0-(-2)) \\ =2^2+2^2 \\ =4+4 \\ =8

c^2=8 \\ c=2 \sqrt{2}

c cannot be negative since it is a side length.

Therefore the hypotenuse is 2 \sqrt{2} units