Question

What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?

Answer 1

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.

$x=\frac{m}{m+n}(x_2-x_1)+x_1$

The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.

$x=\frac{2}{2+5}(8-(-6))+(-6)$

$x=\frac{2}{7}(14)-6$

$x=4-6$

$x=-2$

Therefore the x-coordinate is -2 and second option is correct.

Answer 2

Answer:

-2

Step-by-step explanation: