Question

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio A (4,- 2),B(9, 8); 2 to 3

Answer 1

(7, 4)

Explanation:

Using the formula for calculating the midpoint expressed as;

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

X = (ax1+bx2)/a+b

Y = ay1+by2/a+b

Substitute the given coordinate

X = 2(4)+3(9)/2+3

X = 8 + 27/5

X = 35/5

X = 7

Y = 2(-2)+3(8)/2+3

Y = -4+24/5

Y = 20/5

Y = 4

Hence the required coordinates will be at (7, 4)