Find a if the midpoint of a
line from (a, 6) to (8, 10) is (7, 7)
Solution
x1=a, x2=8, y1=6, y2=10.
(7, 7)=
(x1 + x2, y1 + y2)
2
2
(7, 7)=
(a + 8, 6 + 10)
2 2
(7, 7)=
(a + 8, 16)
2 2
Equating values of x;
7= a
+ 8
2
2 x 7=
(a + 8) x 2 1
14 = a + 8
14-8 = a
a = 6.
Hence a=6
TRY
THIS……………………..
Find m if the midpoint of a line from (m, 19) to (7, 10) is (3, 11)
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