Given the equation $y=2x-4$, what is the missing variable shown below?
(2, __)$$

• A. $-2$
• B. $4$
• C. $2$
• D. $0$

Answer: (D)

Verified step by step guidance

1. Identify the given equation: \(y = \frac{1}{2}x - \frac{4}{3}\).
2. Substitute the given \(x\)-value from the point \((2, \_\_ )\) into the equation. Replace \(x\) with 2: \(y = \frac{1}{2} \times 2 - \frac{4}{3}\).
3. Simplify the multiplication part: \(\frac{1}{2} \times 2\).
4. Subtract \(\frac{4}{3}\) from the result of the multiplication to find the value of \(y\).
5. The value you get after simplification is the missing \(y\)-coordinate for the point \((2, y)\).