Find the distance between the points (0,2) ( -1, -4) and between( 3,-4 ) ( -1, 3)

The distance between (0, 2) and ( -1,
-4).

We will use the distance formula to
calculate.

We know that the distance formula
is:

D = sqrt [ ( xA- xB)^2 + ( yA-
yB)^2

==> D = sqrt[ ( 0+1)^2 + (
2+4)^2]

            = sqrt( 1+
36)

             =
sqrt(37)

Then, the distance between the point ( 0,2)
and the point (-1,-4) = sqrt(37)  = 6.08 units (
approx.)

The distance between ( 3, -4) and
( -1,3).

We will us the distance formula to calculate the
distance.

D = sqrt[ ( 3+1)^2 + (
-4-3)^2]

    = sqrt( 4^2 + 7^2)

     =
sqrt( 16 + 49)

       = sqrt( 65) =
8.06

Then, the distance between the point ( 3,-4) and
the point ( -1,3) = sqrt(65) = 8.06 units ( approx.)