Given the equation $y=\frac{1}{2}x-\frac{4}{3}$, what is the missing variable shown below?
(2,__)

• A. $\frac{1}{3}$
• B. $-\frac{1}{3}$
• C. $\frac{2}{3}$
• D. $-\frac{1}{4}$

Answer: (B)

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 \((2, y)\).