Question

What is the distance between points A and B shown in the graph below

Answer 1

The distance is:
`D = 7\sqrt 2`

Explanation:

Given

`A(x_1,y_1) = (-3,-4)`

`A(x_2,y_2) = (4,3)`

Required

The distance

This is calculated as:

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

So, we have:

`D = √((3-(-4))^2+(4-(-3))^2)`

`D = √(7^2+7^2)`

`D = √(2(7^2))`

`D = 7\sqrt 2`