How do you graph x + y = 1 using a table of values?

To graph the equation x + y = 1 using a table of values, follow these steps:

1. **Rewrite the equation**: Start by solving for y in terms of x.
x + y = 1
y = 1 - x

2. **Choose values for x**: Pick several values for x, such as -2, -1, 0, 1, and 2.

3. **Calculate corresponding values of y**: For each x value, substitute it into the equation y = 1 - x to find the corresponding y values.

- When x = -2: y = 1 - (-2) = 1 + 2 = 3
- When x = -1: y = 1 - (-1) = 1 + 1 = 2
- When x = 0: y = 1 - 0 = 1
- When x = 1: y = 1 - 1 = 0
- When x = 2: y = 1 - 2 = -1

4. **Create a table**: The table of values will look like this:

| x | y |
| --- | --- |
| -2 | 3 |
| -1 | 2 |
| 0 | 1 |
| 1 | 0 |
| 2 | -1 |

5. **Plot the points**: On a graph, plot the points (x, y) from the table:
(-2, 3), (-1, 2), (0, 1), (1, 0), (2, -1)

6. **Draw the line**: After plotting the points, draw a straight line through them. This line represents the equation x + y = 1.

The graph will be a straight line that crosses the y-axis at (0, 1) and has a slope of -1 (the coefficient of x in the equation).