What is the distance between the two endpoints in the graph: (2,3) (-3,-2)?

1 Answer
Dec 1, 2016

The distance between the two points is 5sqrt(2)

Explanation:

First remember the distance formula:

d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

Note that you have been given the points (2,3) and (-3,-2).

Let x_1=2, y_1=3, x_2=-3, and y_2=-2

Now let's substitute these values into our distance formula.

d=sqrt((-3-2)^2+(-2-3)^2)

d=sqrt((-5)^2+(-5)^2)

d=sqrt(25+25)

d=sqrt(50)

d=5sqrt(2)