What is the equation of the line that passes through (1,2) and is parallel to the line whose equation is 4x+y+1=0?
a.4x-y-6=0
b.4x+y-6=0
c.4x+y+6=0

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.