Answer:
The distance of two points = 6 √2 = 8.4852
Step-by-step explanation:
Explanation:-
From the graph
Given points are A ( 4,2) and B ( -2 , -4)
The distance formula
= [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
( x₁ , y₁ ) = ( 4,2 ) and (x₂ , y₂) = ( -2 , -4)
The distance formula
= [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
=[tex]\sqrt{(-2 -(4))^{2} + (-4 - (2))^{2} }[/tex]
= [tex]\sqrt{36+36} = \sqrt{72} = 6\sqrt{2}[/tex]
Final answer:-
The distance of two points = 6 √2 = 8.4852
