Question

Find the distance between the two points in simplest radical form.

Answer 1

d = 5 units

Explanation:

calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 1) ← 2 points on the line

d =
`√((8-5)^2+(1-5)^2)`

=
`√(3^2+(-4)^2)`

=
`√(9+16)`

=
`√(25)`

= 5