How do you find the distance between (-2,3), (-1,7)?

1 Answer
Feb 8, 2017

Answer:

#sqrt(17)#

Explanation:

Think of the two points as two of the points on a triangle, with the hypotenuse between them. enter image source here

The height of the triangle will be #mod(y_1 - y_2) = 4#.
The base of the triangle will be #mod(x_1 - x_2) = 1#.

Therefore, the hypotenuse, and by extension the distance between the points is:
#sqrt(4^2 + 1^2)#
=#sqrt(16 + 1)#
=#sqrt(17)#

Note: #mod# just means that a negative result becomes positive.