Answer:
3x - y = -b (b ∈ R ∧ b ≠ 0)
Step-by-step explanation:
Parallel lines have the ame slope.
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
We have the line y = 3x → m = 3.
Therefore:
y = 3x + b convert it to the standard form Ax + By = C
y = 3x + b subtract 3x from both sides
-3x + y = b change the signs
3x - y = -b where b is any real number except 0.
