4. Which points are on a graph where y varies directly with x and y = 3 when x = -3?
(1, 0); (3,2); (5, 4)
(-1, 1); (0, 0); (-5, 5)
(0, 0); (4,8); (5, 10)
(1,1); (0, 1); (3, 3)



Answer :

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)