To solve this problem and complete the table for the equation $2x - y = 8$, we need to isolate $y$ in terms of $x$ and substitute the given values of $x$ into the equation.

Step 1: Rearrange the equation

The given equation is:
$2x - y = 8$ Rearranging for $y$, we get:
$y = 2x - 8$

Step 2: Substitute values of $x$ into $y = 2x - 8$

1. For $x = -2$ (A):
   $y = 2(-2) - 8 = -4 - 8 = -12$ So, $A = -12$.

2. For $x = 0$ (B):
   $y = 2(0) - 8 = 0 - 8 = -8$ So, $B = -8$.

3. For $x = 2$ (C):
   $y = 2(2) - 8 = 4 - 8 = -4$ So, $C = -4$.

Step 3: Complete the table

The completed table is:

Final Answers:

• $A = -12$
• $B = -8$
• $C = -4$

Let me know if you need any additional explanations! 😊

Related Questions:

1. How do you graph the equation $2x - y = 8$ on a coordinate plane?
2. What is the slope and $y$-intercept of the equation $y = 2x - 8$?
3. How can you convert $2x - y = 8$ into standard form?
4. What are the intercepts of $2x - y = 8$?
5. How do you check if a point lies on the line $2x - y = 8$?

Tip: To find $y$-values quickly, plug $x$-values into the simplified equation $y = 2x - 8$.