Find an equation for the line parallel to 3 y + 12 x = 21 and goes through the point ( - 7 , 1 ) .

Question

Find an equation for the line parallel to 3y+12x=21 and goes through the point (-7,1). 

Answer 1

3y+12x = 21

y =-12x/3 +21/3 = -4x +7

all parallel lines have the same slope = -4

through the point 1(-7,1)

is the line

y=-4x+b solve for b by plugging in x=-7, y=1

1 =-4(-7) +b

b = 1-28 = -27

y =-4x-27 is the parallel line through the given point