Question

Find the distance between the points:

A(7, –4) and B(–5, 1)

Answer 1

A(7,-4)and B(-5,1)
The given points are A(7,-4)and B(-5,1)

`Then ,(x_1 =7, y_1 = -4) and (x_2 =-5 , y_2=1)`

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

`= sqrt((-5-7)^2 + {1-(-4)}^2)`

`=sqrt((-5-7)^2 +(1+4)^2)`

`=sqrt((-12)^2+(5)^2)`

`= sqrt(144+25)`

`=sqrt(169)`

=13 units

`= sqrt(144+25)`

`=sqrt(169)`

=13 units