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Find the co-ordinates of the mid-point of the line joining the points A(2, -5) and B(6, 9).

Sagot :

ItzStarzMe

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

  • (2 , -5) and B (6 , 9)

★ 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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