Construct the table of values for the following equation 1 - 3x = 2y for -4<x <4. Use the answer to sketch the graph.

x y

-4 13/2
-3 5
-2 7/2
...

To construct the table of values for the equation 1 - 3x = 2y for -4 < x < 4, we need to substitute various values of x into the equation and solve for y.

Let's choose x-values ranging from -4 to 4. We'll substitute each value into the equation and solve for y.

When x = -4:
1 - 3(-4) = 2y
1 + 12 = 2y
13 = 2y
y = 13/2

When x = -3:
1 - 3(-3) = 2y
1 + 9 = 2y
10 = 2y
y = 10/2
y = 5

Continue this process for all the chosen x-values to get the corresponding y-values.

When x = -2:
y = 3

When x = -1:
y = 7/2

When x = 0:
y = 2

When x = 1:
y = 3/2

When x = 2:
y = 1

When x = 3:
y = 1/2

When x = 4:
y = 0

Now, we can construct the table:

| x | y |
| -4 | 13/2 |
| -3 | 5 |
| -2 | 3 |
| -1 | 7/2 |
| 0 | 2 |
| 1 | 3/2 |
| 2 | 1 |
| 3 | 1/2 |
| 4 | 0 |

To sketch the graph, plot each point (x, y) from the table on a coordinate plane. Connect the points with a smooth line. The resulting graph should be a straight line.