Let's plug some values and see which satisfy the equations:
Testing [tex] y = \frac{1}{2}x-3 [/tex]:
[tex] (2, -2) \to -2 = \frac{1}{2}\cdot 2 - 3 = 1-3 [/tex], which holds.
[tex] (4, -1) \to -1 = \frac{1}{2}\cdot 4 - 3 = 2-3 [/tex], which holds.
[tex] (6, 0) \to 0 = \frac{1}{2}\cdot 6 - 3 = 3-3 [/tex], which holds.
Since only one line can pass through these three points, we can already claim that the first option is the correct one.
