Question

Calculate the distancce between the points J=(2,-1) and M=(6,-8) in the coordinate plane.

give an exact answer (not a decimal approximation

Answer 1

d =
`√(65)`

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = J (2, - 1 ) and (x₂, y₂ ) = M (6, - 8 )

d =
`√((6-2)^2+(-8-(-1))^2)`

=
`√(4^2+(-8+1)^2)`

=
`√(16+(-7)^2)`

=
`√(16+49)`

=
`√(65)`