equation of line parallel to y = -1/4 x + 3 and passes through the point (-4, -7)

If a line is parallel to another line, they must have the same slope:

y = -x/4 + b is the equation of the line.

Plug in -4, -7 as (x, y)

-7 = 4/4 + b

-7 = b + 1

b = -8

Equation of the line: y = -x/4 - 8