Question

On a coordinate plane, a line is drawn from point J to point K. Point J is at (1, negative 10) and point K is at point (7, 2).
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1?

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

–8
–5
0
6

Answer 1

Use y = (m/(m+n))(y2 − y1) + y1 with m = 5, n = 1, y1 = −10, y2 = 2:

y = (5/6)(2 − (−10)) + (−10) = (5/6)(12) − 10 = 10 − 10 = 0.

Answer: 0.