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 linear equation: \(y=\frac{1}{2}x - \frac{4}{3}\).
2. Recognize that the point given is \((2, \_\_ )\), where \(x=2\) and \(y\) is unknown.
3. Substitute \(x=2\) into the equation to find \(y\): \(y = \frac{1}{2} \times 2 - \frac{4}{3}\).
4. Simplify the multiplication: \(\frac{1}{2} \times 2 = 1\), so now \(y = 1 - \frac{4}{3}\).
5. Subtract the fractions by expressing 1 as \(\frac{3}{3}\): \(y = \frac{3}{3} - \frac{4}{3} = -\frac{1}{3}\).