Question

The coordinates of the mid-point of the line segment joining the points A (3, –7) and B (5, –5) is ……………………​

Answer 1

sorry I can understand

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO DETERMINE

The coordinates of the mid-point of the line segment joining the points A (3, –7) and B (5, –5)

FORMULA TO BE IMPLEMENTED

$\sf{The \: coordinates \: of \: the \: mid-point \: of \: the \: line}$

$\sf{joining \: the \: points \: (x_1,y_1) \: and \: (x_2,y_2) \: is}$

$= \displaystyle \sf{ \bigg(\frac{x_1 + x_2}{2}, \: \frac{y_1 + y_2}{2}\bigg)}$

CALCULATION

The given two points are A (3, –7) and B (5, –5)

Hence the coordinates of the mid-point of the line segment AB joining the points

A (3, –7) and B (5, –5) is

$= \displaystyle \sf{ \bigg(\frac{3 + 5}{2}, \: \frac{ - 7 - 5}{2}\bigg)}$

$= \displaystyle \sf{ \bigg(\frac{8}{2}, \: \frac{ - 12}{2}\bigg)}$

$= \displaystyle \sf{ ( \: 4, \: - 6 \: )}$

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