Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}[/tex]
Step-by-step 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
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 169} }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{218}}} [/tex] units
Hope I helped!
Best regards! :D
