Question

What are the coordinates of the point on the directed line segment from (3, -3) to

(7,5) that partitions the segment into a ratio of 5 to 3?

Answer 1

(5.5,2)

Explanation:

Answer 2

• (5.5, 2)

Explanation:

Points given:

• (3, -3) and (7,5)

Partition ratio:

• 5 to 3

Formula for the point:

• x = x1 + a/(a+b)×(x2 - x1)
• y = y1 + a/(a +b)×(y2 - y1)

So the points are:

• x = 3 + 5/(5+3)×(7-3) = 3 + 5/8×4 = 5.5
• y = -3 + 5/8×(5 - (-3)) = -3 + 5/8×8= 2