Question

y = -\frac{1}{2}x + 3
option 1
option 2

Explanation:

Step1: Analyze the slope and y-intercept

The equation is \( y = -\frac{1}{2}x + 3 \). The slope (\(m\)) is \(-\frac{1}{2}\) (negative, so the line should decrease from left to right) and the y-intercept (\(b\)) is \(3\) (the line crosses the y-axis at \( (0, 3) \)).

Step2: Compare with the options

• Option 1: The line has a positive slope (increasing), so it doesn't match.
• Option 2: The line has a negative slope (decreasing) and crosses the y-axis at \( (0, 3) \), which matches the equation.

Answer:

Option 2