Answer:
Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.
Step-by-step explanation:
From the given graph it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).
The formula to find x intercept.
![x=\frac{m}{m+n}(x_2-x_1)+x_1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bm%7D%7Bm%2Bn%7D%28x_2-x_1%29%2Bx_1)
The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.
![x=\frac{2}{2+5}(8-(-6))+(-6)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%7D%7B2%2B5%7D%288-%28-6%29%29%2B%28-6%29)
![x=\frac{2}{7}(14)-6](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%7D%7B7%7D%2814%29-6)
![x=4-6](https://tex.z-dn.net/?f=x%3D4-6)
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
Therefore the x-coordinate is -2 and second option is correct.
T(s(x)) = -5
Substitute the value in for x and evaluate = -2
Length- 48:8 simplifies to 6.
Width- 30:5 simplifies to 6 also.
I believe your answer would be 1 because 6/6 is simplified to that.