Question

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

directed line segment from J to Kinto a ratio of 2 57
3
2+
1 -
12
-9-8-7-6-5-4-3
1 2 3
45 6.7.8.9. 10 11 X
14-6.-2)
0-4
-2
02
4
K(8.-9)
-10
-31
-12-

Answer 1

-2

Explanation:

In the picture attached, the problem is shown.

The formula you have to use is:

x = m/(m+n)(x2 - x1) + x1

where x1 is the x-coordinate of the origin of the line segment (point J here), x2 is the x-coordinate of the end of the line segment (point K here), and m and n are from the ratio m:n.

In this case:

• x1 = -6

• x2 = 8

• ratio 2:5 means m = 2 and n = 5.

Replacing them into the equation, we get:

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

x = -2