Question

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

Answer 1

Answer:

$D = 7\sqrt 2$

Step-by-step explanation:

Given

$A = (-3,-4)$

$B = (4,3)$

Required

The distance between them

This is calculated as:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So, we have:

$D = \sqrt{(3-(-4))^2+(4-(-3))^2}$

$D = \sqrt{7^2+7^2}$

$D = \sqrt{2(7^2)}$

$D = 7\sqrt 2$