Final answer:
To find the equation of a line parallel to y=3x, we can use the same slope of 3 and a y-intercept of b.
Step-by-step explanation:
To find the equation of a line parallel to y = 3x, we know that the slope of the parallel line will be the same.
In the given equation, the slope m is 3. So, the equation of the line parallel to y = 3x can be written as y = mx + b, where m = 3 and b is the y-intercept which we don't know yet.
Since the line is parallel, it means it has the same slope. Therefore, the equation of the parallel line is y = 3x + b, where b is the y-intercept.