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

Respuesta :

Answer:

Step-by-step explanation:

y = -x + 1.....slope 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 + 5.....rearrange  = x + y = 5 <==