Posted by **boss** on Friday, October 19, 2012 at 1:24am.

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

- algebra -
**Reiny**, Friday, October 19, 2012 at 8:48am
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

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