Question

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14) ​

Answer 1

Answer:

(-1,13)

Step-by-step explanation:

.......

[4+(-6)]/2 = - 1

[12+14]/2 = 13

Answer 2

SOLUTION

TO DETERMINE

The midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

CONCEPT TO BE IMPLEMENTED

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$

The midpoint of the line AB is

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

EVALUATION

Here the given points are (4, 12) and (-6, 14)

Hence the required midpoint of the segment

$\displaystyle \sf{ = \bigg( \frac{4 - 6 }{2} , \frac{12+ 14}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{ - 2 }{2} , \frac{26}{2} \bigg)}$

= ( - 1 , 13 )

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