Two lines are parallel to each other when they never intersect each other and their slopes are the same.
If the line is parallel to the line y=-1/4x+5, it must have the same slope, in this case -1/4x.
Let's find the line passing through the point (2,-1) using the next formula:
y- y1 = m(x - x1)
Where m= -1/4, x1 = 2 and y1 = -1.
Replace the values and solve for y:
y -(-1) = -1/4(x-2 )
y+1 = -1/4*x + (-1/4* -2)
y+1 = -1/4x + 1/2
y = -1/4x + 1/2 -1
y = -1/4x - 1/2
So y = -1/4x - 1/2 is the equation of the line parallel to the line y=-1/4x+5 and passing through the point (2,-1)