Verified answer

x+2y = 1+2(-6) = -11

Answer: x+2y = -11 <==standard form

first find the slope.

x+2y=6

2y=-x+6

y=(-1/2)x+3

since they are parallel the slope will be equal

slope = m = -1/2

now put it into slope-intercept form (y=mx+b)

y=(-1/2)x+b

plug in your point that it goes through

-6=(-1/2)(1)+b

solve for b

-6=-1/2+b

-11/2=b

now write your equation

y=(-1/2)x-(11/2)

or

(1/2)x+y=-11/2

x+2y=-11

2y=-x+6

m=-1/2

(y+6)/(x-1)=-1/2

2y+12=-x+1

2y=-x-11 or x+2y=-11

God bless you.