Question

Find the distance between the two points in simplest radical form. The points given are (1,8) and (6,-4).​

Answer 1

d = 13 units

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (1, 8 ) and (x₂, y₂ ) = (6, - 4 )

substitute these values into the formula for d

d =
`√((6-1)^2+(-4-8)^2)`

=
`√(5^2+(-12)^2)`

=
`√(25+144)`

=
`√(169)`

= 13 units