Answer: parallel
Step-by-step explanation: he lines x=4 and x=-6 are vertical lines in the coordinate plane.
Step-by-step explanation:
A vertical line has the equation x = a, where "a" is a constant value. This means that the line is perpendicular to the x-axis and extends infinitely in both the positive and negative y-directions.
In this case, x=4 represents a vertical line passing through the x-coordinate 4. Similarly, x=-6 represents a vertical line passing through the x-coordinate -6.
Since both lines are vertical, they are parallel to each other. Parallel lines have the same slope, but in this case, the slope is undefined because vertical lines have no slope. Therefore, the lines x=4 and x=-6 are parallel.
In summary, the lines x=4 and x=-6 are parallel because they are both vertical lines with undefined slopes.