Question

What are the coordinates of the point on the directed line segment from (-10, 10)(−10,10) to (-5, 5)(−5,5) that partitions the segment into a ratio of 2 to 3?

Answer 1

(-7, 7)

Explanation:

The formula for calculating the coordinate point is expressed as;

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

X = ax1+bx2/a+b

X = 2(-10)+3(-5)/2+3

X = -20-15/5

X = -35/5

X = -7

Y = ay1+by2/a+b

Y = 2(10)+3(5)/2+3

Y = 20+15/5

Y = 35/5

Y = 7

hence the required coordinate is (-7, 7)