Final answer:
The question seeks the x-coordinate of a point dividing a line segment in a 1:3 ratio, which generally involves using the formula for dividing a line segment in a given ratio in coordinate geometry. Without the coordinates of points K and J, the correct answer cannot be determined from the given options.
Step-by-step explanation:
The question is about finding the x-coordinate of a point dividing a line segment in a given ratio. This falls under the category of coordinate geometry, which is a part of Mathematics. The directed line segment from point K to point J can be divided internally or externally in a given ratio, which is the case here (1:3).
The formula to find the coordinates of the point P that divides the line segment joining points K(x1, y1) and J(x2, y2) in the ratio m:n is given by:
P = ((mx2 + nx1) / (m + n), (my2 + ny1) / (m + n))
However, the problem statement needs additional information regarding the coordinates of K and J for a complete solution. Without these details, we are unable to calculate the exact x-coordinate. Among the options provided for the x-coordinate (-1, 3, 7, 11), we can't confirm the correct answer without more information about points K and J.