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

1 Answer
Alan P.
Aug 17, 2015

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

Explanation:

Using the Pythagorean Theorem:

The horizontal distance (i.e. the #x# distance) between Q and R is
#color(white)("XXXX")## 5-2 = 3#
The vertical distance (i.e. the #y# distance) between Q and R is
#color(white)("XXXX")##3- (-1) = 4#

The distance between Q and R (as given by the Pythagorean Theorem) is
#color(white)("XXXX")##sqrt(3^2+4^2) = 5#
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