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.
[tex]x=\frac{m}{m+n}(x_2-x_1)+x_1[/tex]
The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.
[tex]x=\frac{2}{2+5}(8-(-6))+(-6)[/tex]
[tex]x=\frac{2}{7}(14)-6[/tex]
[tex]x=4-6[/tex]
[tex]x=-2[/tex]
Therefore the x-coordinate is -2 and second option is correct.
