The graph y=kx is given by the table. Find the coefficient k and fill in the table:

Answer:
k = 2
Table from left to right:
-10
-1
0
4
8
1/8
Step-by-step explanation:
One point is (2, 4). Points are written (x, y).
Substitute x=2 and y=4 into y = kx to find k
y = kx
4 = 2k
4/2 = k
k = 2
Substitute k=2 and each of the x or y in the table to find the missing value.
When x = -5
y = 2x
y = 2(-5)
y = -10
When x = -1/2
y = 2x
y = 2(-1/2)
y = -1
When x = 0
y = 2x
y = 2(0)
y = 0
When x = 2
y = 2x
y = 2(2)
y = 4
When y = 16
y = 2x
16 = 2x
16/2 = x
x = 8
When y = 1/4
y = 2x
1/4 = 2x
(1/4)/2 = x
x = 1/8