Answer:
3x - 14 = y
Step-by-step explanation:
The equation of the line parallel to a given line ax + by + c₁ = 0 is ax + by + c₂ = 0.
In other words, equation of parallel lines differ only in their constants.
Now the given line is: 3x + 4 = y.
This can be written as: 3x - y + 4 = 0. Therefore, the line parallel to this would be: 3x - y + c = 0.
Since the point passing through the line is given, that point should satisfy this equation. So, it can used to find the values of c.
Substituting (4,-2) in the equation we get: 3(4) - (-2) + c = 0
⇒ c = -14
Substituting this we get: 3x - y -14 = 0.
or, 3x -14 = y
