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

answers:

a) 4x - y - 6 = 0
b) 4x + y - 6 = 0
c) 4x + y + 6 = 0

In form ax+by=c
slope=-a/b

paralalell lines have same slope

find slope of 4x+y-1=0
get to ax+by=c forom
add 1 o both sides
4x+1y=1
slope=-4/1=-4

so
a point is (1,2) and the slope is -4
in point slope form
y-y1=m(x-x1)
where m=slope and (x1,y1) is a given point

(x1,y1)
(1,2)
slope=-4
y-2=-4(x-1) is equation
or
y=-4x+6