https://file.aiquickdraw.com/mathbot/file/1727102440558bp4p0scz.jpg

To complete the table, we can solve for \( y \) in terms of \( x \) using the given equation \( 2x - y = 8 \).

1. Rearrange the equation to express \( y \):
\[
y = 2x - 8
\]

2. Now, plug in the given values of \( x \) to find \( y \):

- When \( x = -2 \):
  \[
  y = 2(-2) - 8 = -4 - 8 = -12 \quad \text{(This is value A)}
  \]

- When \( x = 0 \):
  \[
  y = 2(0) - 8 = 0 - 8 = -8 \quad \text{(This is value B)}
  \]

- When \( x = 2 \):
  \[
  y = 2(2) - 8 = 4 - 8 = -4 \quad \text{(This is value C)}
  \]

### Completed table:

| \( x \) | -2  | -1  |  0  |  1  |  2  |
|--------|------|------|------|------|------|
| \( y \) | -12 | -10 |  -8  |  -6  |  -4  |

Let me know if you need more details or have any questions.

### Relative questions:
1. How do you graph a line using the slope-intercept form?
2. What happens to the graph if the equation changes to \( 2x - y = 5 \)?
3. Can you explain how to find the slope of the line from the equation \( 2x - y = 8 \)?
4. How would you solve the equation for \( x \) given a value for \( y \)?
5. What does the intercept mean in this linear equation?

**Tip:** Always check your rearranged equation to make sure it's in the correct form before substituting values.

Copy and complete the table for the graph of 2x - y = 8. The table includes x-values of -2, -1, 0, 1, and 2, and you need to fill in the corresponding y-values (A, B, and C).

Learn how to complete a table for the linear equation 2x - y = 8. This problem covers core algebraic concepts and teaches how to solve for y given various values of x. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation