Question

Find the distance between the points:

A(1, –3) and B(4, –6)

Answer 1

A(1,-3) and B(4,-6)

The given points are A(1,-3) and B(4,-6 )

`Then (x_1 =1,y_1=-3) and (x_2 = 4, y_2=-6)`

`AB = sqrt((x_2-x_1)^2 +(y_2-y_1)^2)`

`=sqrt((4-1)^2+{-6-(-3)}^2)`

`=sqrt((4-1)^2 + (-6+3)^2)`

`= sqrt((3)^2 +(-3)^2`

`= sqrt(9+9)`

`=sqrt(18)`

`=sqrt(9xx2)`

`=3 sqrt(2) ` units