What is the y-coordinate of the point that divides the

directed line segment from j to k into a ratio of 5: 1?

75(7,2)

+

+

+

+

y =

(v2 - y) + va

1 2 3 4 5 6 7 8 9 10 11 x

o

o o

o

j (1,-10)

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are and , then the coordinates of that point are

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

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step-by-step explanation: