Here is a table of values for the equation \( y = -2x + 5 \), where \( x \) is a set of selected values, and the corresponding \( y \)-values are calculated based on the equation.

| \( x \) | \( y = -2x + 5 \) |
|--------|-------------------|
| -3     | 11                |
| -2     | 9                 |
| -1     | 7                 |
| 0      | 5                 |
| 1      | 3                 |
| 2      | 1                 |
| 3      | -1                |
| 4      | -3                |
| 5      | -5                |

The values of \( y \) are calculated by substituting the corresponding values of \( x \) into the equation.

Would you like a deeper explanation of how the values are calculated, or do you have any questions?

Here are some related questions:
1. How do you graph the equation \( y = -2x + 5 \)?
2. What is the slope and y-intercept of \( y = -2x + 5 \)?
3. How do you find the x-intercept of \( y = -2x + 5 \)?
4. What happens to the line as the slope changes?
5. Can you create a real-world example modeled by the equation \( y = -2x + 5 \)?

**Tip:** The slope of a line determines its steepness and direction—negative slopes make the line go downwards!

Explore a detailed table of values for the linear equation y = -2x + 5, demonstrating how to calculate y-values for selected x-values. This concept is essential for understanding the graphing of linear equations and the role of slope and y-intercept. Suitable for students in Grades 6-8.

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