Question

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=5
b. x-y=-5
c. x+y=-5
d. -x-y=5

Answer 1

y=-x+b

plug in x = 4 and y = 1  to find b

1 = -4 + b   and we know that if you add 5 and -4 you get 1. So ...

5 = b so if we plug that in

y= -x + 5

which is the same as y + x = 5,  So it would be A