Final answer:
To create a table for the line y = 4x + 2, plug in different values of x and calculate the corresponding values of y. The table will include the values of x and y for x between -1 and 3.
Step-by-step explanation:
To create a table for the line y = 4x + 2, we need to plug in different values of x and calculate the corresponding values of y. Given that x is between -1 and 3, we can start by plugging in -1, 0, 1, 2, and 3 into the equation.
For x = -1, y = 4(-1) + 2 = -4 + 2 = -2.
For x = 0, y = 4(0) + 2 = 0 + 2 = 2.
For x = 1, y = 4(1) + 2 = 4 + 2 = 6.
For x = 2, y = 4(2) + 2 = 8 + 2 = 10.
For x = 3, y = 4(3) + 2 = 12 + 2 = 14.
Therefore, the table for the given line is as follows:
x
y
-1
-2
0
2
1
6
2
10
3
14