Question

Find the distance between (-8,-2) and (6,-1)

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ √(197) \: \: units}}}}}`

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

`\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^(2) + {( - 1 - ( - 2))}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^(2) + {( - 1 + 2)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(14)}^(2) + {(1)}^(2) } }}`

`\dashrightarrow{ \sf{ √(196 + 1)}}`

`\dashrightarrow{ \boxed{ \sf{ √(197 \:) \: units}}}`

Hope I helped!

Best regards! :D