Question

Whats the distance between (-4, 6) and (3, -7)

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ √(218) \: \: units}}}}}`

Explanation:

Let the points be A and B

Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )

Finding the distance between these two points

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

`\dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^(2) + { (- 7 - 6)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^(2) + {( - 7 - 6)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {7}^(2) + {13}^(2) } }}`

`\dashrightarrow{ \sf{ √(49 + 169) }}`

`\dashrightarrow{ \sf{ √(218)}}` units

Hope I helped!

Best regards! :D