Which of the following is the equation of a line parallel to the line y= -x +1 passing through the point (4,1)? a)-x-y=5b)x-y=-5c)x+y=5d)x+y=-5

The answer to this question is x + y =  5. If we need to find the equation of line parallel to the line y = -x + 1 passing through the point (4,1), we can make this line using point slope form. Since it is parallel, the slope is -1.
                                   y - 1 = -1(x - 4)
                                   y - 1 = -x + 4
                                  x + y =  5