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Step-by-step explanation:

A( 4,-8) and B (-6,-2)

Mid point of AB

(x, y) = {(4-6)/2 , (-8-2)/2}

= ( -2/2 , -10/2)

= (-1 , -5 )

Therefore mid point of AB is (-1 , -5 )

The coordinate of the midpoint of AB will be (-1,-5) so option (B) will be correct.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

Given,

A(4, -8) and B(-6, -2).

The midpoint between two coordinates is given by

(sum of x coordinate/2, the sum of y coordinate/2, )

So,

x = (4 - 6)/2 = -1

y = (-8 - 2)/2 = -5

Hence, the coordinate of the midpoint of AB will be (-1,-5)

For more about coordinates

brainly.com/question/7869125

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