by section formula the coordinates of the point (4/5,5) .
Let the coordinates of the required point be (x,y)
Let the given points (-4,1) be (x1, y1) and (1,6) be (x2, y2) and the ratio be m:n(4:1)
Using section formula to find the coordinates:
x = (mx2 + nx1)/(m+n)
= {4(2) + 1(-4)} /(4+1)
= 4/5
y = (my2 + ny1)/(m+n)
= {4(6) + 1(1)} / (4+1)
= 25/5
= 5
Therefore, the required point is (4/5,5).
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