Question

Find the distance between the points (1, 4) and (-5, -4) on the coordinate plane.

Answer 1

The formula of a distance between two points:

`A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\AB=√((x_B-x_A)^2+(y_B-y_A)^2)`

`(1,\ 4);\ (-5,\ -4)\\\\d=√((-5-1)^2+(-4-4)^2)=√((-6)^2+(-8)^2)=√(36+64)=√(100)=10`