Answer:
The table will be:
x 0 1 2 -1 3 1/3
y=3x-1 -1 2 5 -4 8 0
Explanation:
We are given the equation: y = 3x-1 and we need to fill the table.
We have to put value of x and find value of y
When x = 0
y= 3(0)-1 = 0-1 = -1
So, x=0, y=-1
When x = 1
y=3(1)-1=3-1 = 2
So, x=1, y=2
When x = 2
y=3(2)-1=6-1 = 5
So, x=2, y=5
Now, we are given y=-4 and we need to find x
y=3x-1
-4=3x-1
-4+1=3x
3x=-3
x=-3/3 = -1
So, y = -4, x = -1
Now, we are given y=8 and we need to find x
y=3x-1
8=3x-1
8+1=3x
3x=9
x=9/3 = 3
So, y = 8, x = 3
Now, we are given y=0 and we need to find x
y=3x-1
0=3x-1
0+1=3x
3x=1
x=1/3
So, y = 0, x = 1/3
The table will be:
x 0 1 2 -1 3 1/3
y=3x-1 -1 2 5 -4 8 0