Question

The coordinates of the midpoint of segment AB with A4,6), B(2.8) is
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Answer 1

Answer:

The answer will be (3,7).

Step-by-step explanation:

Coordinates given are;

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

We have to find coordinate of the midpoint of AB.

Thus, the ratio = 1 : 1

Here, we'll apply Section formula which states;

$( \frac{(m)(x2) + (n)(x1)}{m + n} \: \: \frac{(m)(y2) + (n)(y1)}{m + n} )$

here,

m and n are the ratio

x1, x2, y1 and y2 are the respective coordinate points.

Thus, coordinate of the midpoint equals;

$( \frac{(1)(2) + (1)(4)}{1 + 1} \: \: \: \frac{(1)(8) + (1)(6)}{1 + 1} )$

$( \frac{(2) + (4)}{2} \: \: \: \frac{(8) + (6)}{2} )$

$( \frac{6}{2} \: \: \: \frac{14}{2} )$

(3, 7)

Coordinate of the midpoint of AB is (3,7).

That's all.