Question

the coordinator of the midpoint of line joining points A(-3 5) and B (7 -11)​

Answer 1

(2, -3) are the coordinates of mid-point

Answer 2

SOLUTION

TO DETERMINE

The coordinates of the midpoint of line joining points A(-3, 5) and B (7, -11)

CONCEPT TO BE IMPLEMENTED

The coordinates of the midpoint of line joining points A(a, b) and B (x, y) is

$\displaystyle \sf{ \bigg( \frac{a + x}{2} \: , \: \frac{b + y}{2} \bigg)}$

EVALUATION

We have to find the coordinates of the midpoint of line joining points A(-3, 5) and B (7, -11)

Here the given points are A(-3, 5) and B (7, -11)

So the required midpoint of AB

$\displaystyle \sf{ = \bigg( \frac{ - 3+ 7}{2} \: , \: \frac{5 - 11}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{4}{2} \: , \: \frac{ - 6}{2} \bigg)}$

$\displaystyle \sf{ = ( 2\: , \: - 3 ) }$

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