Question

if ( a,b) is the midpoint of the line segment joining the points A(10,-6)andB(k,4)and a-2b=18 the value of k is​

Answer 1

Answer:

k=22.

Step-by-step explanation:

Let M(a,b) be the midpoint of the line segment AB.

Then, M bisects AB

i.e; (a,b)={(10+k)/2 ,(-6+4)/2}

=> a=(10+k)/2 --------(eq-1) and b=-1.

It is given that: a-2b=18

=> a=18+2b

=> (10+k)/2=18+2b (using eq-1)

=> 10+k= 2(18+2×(-1)) (b=-1)

=> 10+k=2(16)

=> k=32-10

_____

=> | k=22 | answer.

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