What is the equation of line k?

Find 2 sets of points on ur line..
(0,1)(-2,2)
slope(m) = (2 - 1) / (-2 - 0) = -1/2

y = mx + b
slope(m) = -1/2
use either of ur points...(0,1)...x = 0 and y = 1
now we sub and find b, the y int
1 = -1/2(0) + b
1 = b

so ur equation is : y = -1/2x + 1

None of the options you showed are it.