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

Step-by-step explanation:

y = -x + 1slope here is -1. A parallel line will have the same slope

y = mx + b

slope(m) = -1

(4,1)x = 4 and y = 1

now we sub and find b, the y int

1 = -1(4) + b

1 = -4 + b

1 + 4 = b

5 = b

so ur equation is : y = -x + 5rearrange  = x + y = 5 <==