the mid point of a segment joining (a,b) and (-3,4b) is (2,3a+4).find a & b.

Answer 1

for the x-coordinate:
(a-3)/2 = 2
a-3 = 4
a = 7

for the y-coordinate:
(b + 4b)/2 = 3a + 4
5b = 6a + 8
5b = 42+8 = 50
b = 10

check:
is (2,25) the midpoint of (7,10) and (-3,40) ?
Yes, it is