Answer:
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).
