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

## Answer this Question

## Related Questions

- pre-cal-please help - find the mid point of the line segment joining the points ...
- Analytic Geometry - Please help. I've been trying to solve these for more than ...
- algebra - find mid point of line segment whose end points are given (-3,-2) (-10...
- Geometry - Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then ...
- Geometry - Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then ...
- Geometry - Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then ...
- geometry - Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then ...
- Math - In this problem we consider drawing some straight lines which form a nice...
- Calc. - Determine vector, parametric and, if possible, symmetric equations for ...
- MATHEMATICS - If P is a point on the segment joining X(-2,-2) and Y(8,3), find ...