How do you find the length of a slope Q (5,3) R (2, -1)?

1 Answer
Aug 17, 2015

The length of the line segment between Q(5,3)(5,3) and R(2,-1)(2,1) is 55

Explanation:

Using the Pythagorean Theorem:

The horizontal distance (i.e. the xx distance) between Q and R is
color(white)("XXXX")XXXX 5-2 = 352=3
The vertical distance (i.e. the yy distance) between Q and R is
color(white)("XXXX")XXXX3- (-1) = 43(1)=4

The distance between Q and R (as given by the Pythagorean Theorem) is
color(white)("XXXX")XXXXsqrt(3^2+4^2) = 532+42=5
enter image source here