If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1), then find the value of 'a'.

asked Mar 7, 2022 85.0k views

13 votes

If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1),

then find the value of 'a'.

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4 votes

a=-1

Using the midpoint formula directly from the topic meaning

(x_(1)+x_(2) )/(2) or (y_(1)+y_(2) )/(2)

$(a+a+4)/(2) =1\\a=-1$

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