Give the equation of the line that passes through point (-5, -1) and is parallel to the line y = -1/4x- 7.

Since the new line must be parallel to the old line, it must have a slope of -1/4

so let its equation be
y = (-1/4)x + b
plug in our new point (-5,1)
-1 = (-/4)(-5) + b
-4 = 5 + 4b
b = -9/4

so y = (-1/4)x - 9/4