Question

On a coordinate plane, a line is drawn from point K to point J. Point K is at (9, 2) and point J is at (1, negative 10).
What is the x-coordinate of the point that divides the directed line segment from K to J into a ratio of 1:3?

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

–1
3
7
11

Answer 1

We want the point 1/4 of the way from K toward J (ratio 1:3). So x = 9 + (1/4)(1 - 9) = 9 + (1/4)(-8) = 9 - 2 = 7.

Answer: 7.