Question

Find the distance between the points:

A(–6, –4) and B(9, –12)

Answer 1

A(-6,-4) and B(9,-12)

The given points are A(-6,-4) and B(9,-12)

` Then (x_1 =-6,y_1 = -4) and (x_2 = 9, y_2 =-12)`

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

`= sqrt((9-(-6))^2 +{-12-(-4)}^2)`

`=sqrt((9+6)^2 +(-12 +4)^2)`

`= sqrt((15)^2+(-8)^2)`

`= sqrt(225+64)`

`= sqrt(289)`

=17 units