What’s the distance between (-2,3) and (-4,0)

the distance between the two points is d = sqrt(13)

Step-by-step explanation:

It may help to plot the points (-2,3) and (-4,0).  The distance between them is the length of the hypotenuse of a right triangle.  The length of the base of this triangle is -2 - (-4), or 2, and the height of this triangle is 3.  Let's apply the Pythagorean Theorem (altho' we could just as well use the distance formula instead):  The square of the hypotenuse is 2^2 + 3^2, or 4 + 9, or 13.

Thus, the distance between the two points is d = sqrt(13).