Question

Two points are located at (−9,−8) and (−6,−4).

Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.

Answer 1

c= √(a² + b²)

c=√( -6 – -9 )² + ( -4 – -8 )²

Explanation:

Answer 2

`l(AB)=5\ units`

is the distance between the point A and point B.

Explanation:

Let

A ≡ (x₁, y₁) ≡ (-9 , -8 )

B ≡ (x₂, y₂) ≡ (-6 , -4 )

Now by Pythagoras Distance formula we have

a² + b² = c²

`l(AB) = \sqrt{((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2) )}\\\\l(AB) = \sqrt{((-6--9)^(2)+(-4--8)^(2) )}\\\\l(AB)=\sqrt{(3)^(2)+(4)^(2)  }\\\\l(AB) =√(25) \\\\l(AB) = 5\ units`