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What is the x-coordinate of the point that divides the directed

line segment from J to k into a ratio of 2:5?
=
-
+
OOOO

User Kovogel
by
8.6k points

1 Answer

1 vote

The x - coordinate of the point is
x=-2

Step-by-step explanation:

Given that the coordinates of the two points J and K are (-6,-2) and (8,-9)

We need to determine the x - coordinate of the point that divides the directed line segment from J to K into a ratio of 2 : 5

The value of the x - coordinate can be determined using the formula,


x=(m)/(m+n) (x_2-x_1)^2+x_1

where m = 2, n = 5 and
x_1=-6 and
x_2=8 in the above formula, we get,


x=(2)/(2+5) (8+6)+(-6)

Simplifying, we get,


x=(2)/(7) (14)-6

Dividing the terms, we get,


x=2(2)-6

Multiplying the terms, we have,


x=4-6

Subtracting, we get,


x=-2

Thus, the x - coordinate of the point is
x=-2

User Eric Koleda
by
8.8k points

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