Answer:
To create a table for the linear equation 2x - y = 8, you can select various values for x and then solve for y. Here's a simple table with five values for x:
| x | y |
|----|----|
| 0 | -8 |
| 1 | -6 |
| 2 | -4 |
| 3 | -2 |
| 4 | 0 |
For each chosen value of x, we can calculate the corresponding y-value using the equation:
y = 2x - 8
- When x = 0:
y = 2(0) - 8 = -8
- When x = 1:
y = 2(1) - 8 = 2 - 8 = -6
- When x = 2:
y = 2(2) - 8 = 4 - 8 = -4
- When x = 3:
y = 2(3) - 8 = 6 - 8 = -2
- When x = 4:
y = 2(4) - 8 = 8 - 8 = 0
This table represents points on the line described by the equation 2x - y = 8. If you graph these points and connect them with a line, you'll visualize the linear equation on a coordinate plane.