Question

Find the distance between the pair of points: (1,3) and (-6, -6).

distance : ?​

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ √(130) \: \: units}}}}}`

Explanation:

Let the points be A and B

Let A ( 1 , 3 ) be ( x₁ , y₁ )and B ( -6 , -6 ) be ( x₂ , y₂ )

Finding the distance between these points

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

`\longrightarrow{ \sf{ \sqrt{ {( - 6 - 1)}^(2) + {( - 6 - 3)^(2) } }}}`

`\longrightarrow{ \sf{ \sqrt{ {( - 7)}^(2) + {( - 9)}^(2) } }}`

`\longrightarrow{ \sf{ √(49 + 81)}}`

`\longrightarrow{ \sf{ √(130)}}` units

Hope I helped!

Best regards! :D