Step-by-step explanation:
slope interception formula is
y-y1=m(x-x1)
where m is m=y-y1/x-x1 in this case m=-2 because the line we are trying to find is parallel to the given one y=-2x-6 where slope k=-2
so the final equation would be
y-1=-2(x-(-4))
y-1=-2x-2*4
y=-2x-8+1=-2x-7
