Question

What is the x-coordinate of the point that divides the directed

line segment from K to J into a ratio of 1:3?

Answer 1

Since we need a point that divides K-->J into two segments in a 1:3 ratio, let's flip it to a 3:1 ratio in the J-->K direction. That means that this point is 3/(3+1) = 3/4 of the way up line JK.

Let's take 3/4 of the x of K (plus the 1 for the x of J):

3/4×(9 - 1) + 1 (because the beginning ofvthe line, at J, has an x of 1)...

3/4×(8) + 1 = 6 + 1 = 7

Therefore the answer is C) 7

Explanation: