Question

Find the distance between the pair of points given on the graph.

Answer 1

Explanation:

(-2, -2 ) ; (-3, - 5)

`Distance = \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)} \\\\=\sqrt{(-5-[-2])^(2)+(-3-[-2])^(2)}\\\\=\sqrt{(-5+2)^(2)+(-3+2)^(2)}\\\\ =\sqrt{(-3)^(2)+(-1)^(2)} \\=√(9+1)\\\\=√(10)`

Answer 2

see below

Explanation:

The line segment is the hypotenuse of a right triangle with legs 1 and 3 so using Pythagorean Theorem its length is √10.