Question

Find the distance between the points `A((-8)/5, 2)` and `B(2/5, 2)`.

Answer 1

The given points are `   A ((-8)/5,2) and B (2/5,2)`

Then ` (x_1 = (-8)/5 , y_1 =2 ) and ( x_2 = 2/5 , y_2 = 2)`

Therefore ,

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

`= sqrt({2/5-((-8)/5)}^2 +(2-2)^2)`

`= sqrt((2)^2 +(0)^2`

`=sqrt(4+0)`

`= sqrt(4)`

= 2 units .