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.
Accepted Solution
A:
Answer:[tex]l(AB)=5\ units[/tex] is the distance between the point A and point B.Step-by-step explanation:LetA ≡ (x₁, y₁) ≡ (-9 , -8 )B ≡ (x₂, y₂) ≡ (-6 , -4 )Now by Pythagoras Distance formula we havea² + b² = c²[tex]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) =\sqrt{25} \\\\l(AB) = 5\ units[/tex]