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Answer:

The coordinates of the Midpoint of AB will be: (1/2, 5)

Step-by-step explanation:

Given the points

  • A(-2, 6)
  • B(3, 4)

Finding the midpoint between (-2, 6) and (3, 4)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:6\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)[/tex]

[tex]M.P=\left(\frac{3-2}{2},\:\frac{4+6}{2}\right)[/tex]

        [tex]=\left(\frac{1}{2},\:5\right)[/tex]

Therefore, the coordinates of the Midpoint of AB will be: (1/2, 5)

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