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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?

What is the x-coordinate of the point that divides the directed line segment from-example-1

2 Answers

4 votes

Answer:

it is -2 oprion 2

Explanation:

User Shams Reza
by
6.3k points
1 vote

The given end points of the line of the given graph are J(-6,-2) and K( 8,-9).

We need to find the coordinate of x that divide the line segment from J to K in 2:5 ratio.

We are given formula also.


x=\left((m)/(m+n)\right)\left(x_2-x_1\right)+x_1

We have m = 2, n= 5, x1 = -6 and x2 = 8.

Plugging those values of m, n, x1 and x2 in above formula, we get


x=\left((2)/(2+5)\right)\left(8-\left(-6\right)\right)+\left(-6\right)


=(2)/(7)\left(8+6\right)-6


=(2\cdot \:14)/(7)-6


=4-6


x=-2

Therefore, correct option is 2nd option -2.


User Netfa
by
6.0k points