Final answer:
To find a vector parallel to a given line, use the direction of the line as the direction of the vector.
Step-by-step explanation:
In order to find a vector parallel to a given line, you can use the direction of the line as the direction of the vector. If the line has a slope of m, then the vector parallel to the line will have components a = 1 and b = m in the x and y directions, respectively. For example, if the line has a slope of 2, then the vector parallel to the line will have components a = 1 and b = 2.