Question

Find the point P along the directed line segment from point A(–13, 6) to point B(2, 20) that divides the segment in the ratio 2 to 3.

Answer 1

(-4, 14.4)

Explanation:

The midpoint formula is expressed as;

M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}

Get X;

X = ax1+bx2/a+b

X = -13(2)+ 2(3)/2+3

X = -26+6/5

X = -20/5

X = -4

Get Y:

Y =ay1+by2/a+b

Y = 2(6)+3(20)/2+3

Y = 12+60/5

Y = 72/5

Y = 14.4

Hence the coordinate of point P dividing A and B in the ratio 2 to 3 is

(-4, 14.4)