Question

Find the distance between the two points in the simplest radical form (2,6) and (7,-6)

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 ) = (2, 6 ) and (x₂, y₂ ) = (7, - 6 )

substitute these values into the formula for d

d =
`√((7-2)^2+(-6-6)^2)`

=
`√(5^2+(-12)^2)`

=
`√(25+144)`

=
`√(169)`

= 13 units