Final answer:
To determine the value of x for which line a is parallel to line b, we compare their slopes. The value of x that will make the lines parallel is 24.
Step-by-step explanation:
To determine the value of x for which line a is parallel to line b, we need to compare their slopes. If two lines have the same slope, they are parallel. The slope of a line can be found using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Using the given information, we can find the slope of line a by comparing two points on the line. Let's say (x1, y1) is (0, 0) and (x2, y2) is (24, 0). Plugging these values into the slope formula, we get (0 - 0) / (24 - 0) = 0 / 24 = 0.
To have line a parallel to line b, the slopes of both lines must be equal. From the given options, the value of x that will make line a parallel to line b is 24 (option a).