Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.
Given points,
★ We have :
- x₁ = 2
- x₂ = 6
- y₁ = -5
- y₂ = 9
★ Midpoint of two points:-
- [tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]
Now, refer to the attachment.
Additional Information :
★ Centroid of a triangle :-
- [tex]\large\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]
★ Distance Formula :-
- [tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]
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