Question

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

Answer 1

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`