Answer:
B
Step-by-step explanation:
Parallel lines have the same slope. This means it shares the same slope as 4x + y + 1 = 0. Convert to slope intercept form to find that slope.
4x + y + 1 = 0
y = -4x - 1
Substitute m = -4 and (1,2) into the point slope form to find the equation. Then convert to the general form of the line.
[tex]y - y_1 = m(x-x_1)\\y - 2 = -4(x-1)\\y - 2 = -4x + 4\\4x + y -6 = 0[/tex]