Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{58} \: \: units}}}}}[/tex]
Step-by-step 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
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 - ( - 2))}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 + 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {(3)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 9}}} [/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{58} }}[/tex] units
Hope I helped!
Best regards! :D
