Two lines are parallel if these lines never do intersect, and this happens if both of these lines have the same slope.
Here we want to find the slope that is parallel to m = 4.
Now there are two possible cases.
m represents a slope.
Then m = 4 would represent a line like:
y = 4*x + c
Any other line with the same slope and a different y-intercept will be parallel to this line, like:
y = 4*x + k
where c ≠ k
second case, m = 4 represents an horizontal line at y = 4.
If this is a horizontal line it has a slope equal to zero.
Then any parallel line to this will also have a slope equal to zero, but an y-intercept different than 4.
For example, y = 6.
If you want to learn more, you can read:
https://brainly.com/question/16701300
