Question

What is the distance between the points (3,-2) and (-4, 1)?

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ √(58) \: \: units}}}}}`

Explanation:

Let the points be A and B

Let A ( 3 , -2 ) be ( x₁ , y₁ ) and B ( -4 , 1 ) be ( x₂ , y₂ )

Finding the distance between these points

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

`\dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^(2) + {(1 - ( - 2))}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^(2) + {(1 + 2)}^(2) } }}`

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

`\dashrightarrow{ \sf{ √(49 + 9)}}`

`\dashrightarrow{ \sf{ √(58) }}` units

Hope I helped!

Best regards! :D