Step-by-step explanation:
to vary directly with x means
y = kx
for this to be true and y = 3 when x = -3 :
3 = k×-3
k = 3/-3 = -1
now let's go through single points of the offered point triplets :
(5, 4)
4 = -1×5 = -5
no, false
(4, 8)
8 = -1×4 = -4
no, false
(1, 1)
1 = -1×1 = -1
no, false
that leaves us with the second option :
(-1, 1)
1 = -1×-1 = 1
yes, correct
(0, 0)
0 = -1×0 = 0
yes, correct
(-5, 5)
5 = -1×-5 = 5
yes, correct
the points of the second option are on the graph :
(-1, 1); (0, 0); (-5, 5)