Given points are A (-6, 10) and B(3, -8)

Let the point C(-4, 6) divide AB in ratio m:n.

By section formula,

x = , y =

For point C(-4, 6) on the line joined by the points A and B.

-4 = …(1)

And, 6 = …(2)

Solving 1,

-4(m + n) = 3m - 6n

∴4m + 4n = -3m + 6n

∴ 7m = 2n

∴ =

Hence, ratio is 2:7.