+129918 Remember that a(x1, y1) - b(x2, y2 ) = ( ax1 - bx2, ay1 - by2 )
a(3,4) - b(2,4) = (8,10)
So we have that
3a - 2b = 8 and
4a - 4b = 10
Multiply the first equation by - 2 all the way through
-6a + 4b = -16
4a - 4b = 10 add these
-2a = -6 divide both sides by -2
a = 3
And using 3a - 2b = 8 to find b, we have that
3(3) - 2b = 8
9 - 2b = 8
-2b = -1
b = 1/2
