Question

What’s re the coordinates of the point on the directed line segment from (-4,2) to (5,-4) that partitions the segment into a ratio of 5 to 1?

Answer 1

Answer:

(1, - 3)

Step-by-step explanation:

Remember the formula for dividing a segment in it's respective ratio a:b. In this case let's say a = 5, and b = 1;

x = bx1 + ax2/a + b

= 1(- 4) + 5(5)/5 + 1

= - 4 + 10/6

= 6/6 = 1

y = by1 + ay2/a + b

= 1(2) + 5(- 4)/5 + 1

= 2 - 20/6

= - 3

Therefore our solution should be (1, - 3). Remember though that there can be two solutions in this case, as a can be assigned as 1, and b as 5.