Question

The coordinates of AB are A(-4,4) and B(2,1) which measurement is closest to the length of AB units

Answer 1

`AB\approx 6.7\ units`

Explanation:

Distance between two points: Distance between two points
`(x_1,y_1)\ and\ (x_2,y_2)` is given by

`d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2`

`A(-4,4)\ and\ B(2,1)\\\\AB=√((1-4)^2+(2+4)^2)\\\\AB=√((-3)^2+(6)^2)\\\\AB=√(45)\\\\AB=3√(5)\\\\AB\approx 6.7\ units`