i got stuck on this question.. it's about equations of straight lines

let A(4,6) and B(2,8). It is known that the centroid of triangle ABC is (a,6) for some real number a. Without finding the coordinates of C, find the equation of the median drawn from A to BC.

thank you soo much!

Question

i got stuck on this question.. it's about equations of straight lines

let A(4,6) and B(2,8). It is known that the centroid of triangle ABC is (a,6) for some real number a. Without finding the coordinates of C, find the equation of the median drawn from A to BC.

thank you soo much!

anonymous · Answer

y=6

anonymous · Answer

sorry but how did you get the answer?

anonymous · Answer

the median passes through A and the centroid,and since both have the ordinate 6,then the equation of the line joining them is y=6