Question

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 3, 1) and point K is at (negative 8, 11).
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3?

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

–6
–5
5
7

Answer 1

Use y1 = 1 (J) and y2 = 11 (K), m = 2, n = 3:

y = (2/(2+3)) (11 − 1) + 1 = (2/5)(10) + 1 = 4 + 1 = 5.

Answer: 5.