Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{196 + 1}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}} [/tex]
Hope I helped!
Best regards! :D
