work out the length of line segment between
a) (2, 5) and (7, 17)
b) (-10, 1)and(-7, -3)
Distance formula = sqrt [ (subtract x's)^2 + (subtract y's)^2 ]
a. (2, 5) and (7, 17) =
sqrt[ (7 - 2)^2 + (17 - 5)^2] =
sqrt [ 5^2 + 12^2] =
sqrt [25 + 144] =
sqrt [169] = 13 units
b. (-10, 1)and(-7, -3) =
sqrt [ ( -7 - -10)^2 + ( -3 -1)^2] =
sqrt [ (-7 + 10)^2 + (-4)^2] =
sqrt[ 3^2 + (-4)^2] =
sqrt [9 + 16] =
sqrt [25] = 5 units