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?

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

–1
3
7
11

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).

Answer 1

7

Using the formula x = x1 + m/(m+n) (x2 − x1) with K(9,2)=x1, J(1,−10)=x2 and m:n = 1:3:
x = 9 + (1/4)(1 − 9) = 9 − 2 = 7.