Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( - 3 , -2 ) be ( x₁ , y₁ ) and B ( -3 , 6 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 3 - ( - 3))}^{2} + {( 6 - ( - 2))}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 3 + 3)}^{2} + {(6 + 2)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {(0)}^{2} + {(8) }^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{0 + 64}}} [/tex]
[tex] \longrightarrow{ \sf{ \sqrt{64}}} [/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {8}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{8 \: \: units}}[/tex]
Hope I helped!
Best regards! :D
