The slope of line a must be equal to [tex]\dfrac{1}{3}[/tex], for lines a and b to be parallel.
Parallel Lines Condition
Two lines are parallel when their slope is equal to each other.
Given to us
slope of line b = [tex]\dfrac{1}{3}[/tex]
To find
the slope of line a
Solution
As given to us that we want the lines to be parallel therefore the slope of both the lines must be equal. so,
slope of line b = slope of line a = [tex]\dfrac{1}{3}[/tex]
Hence, the slope of line a must be equal to [tex]\dfrac{1}{3}[/tex], for lines a and b to be parallel.
Learn more about Parallel Lines:
https://brainly.com/question/19300779
