The equation is:
[tex]y=\frac{1}{2}x-3[/tex]
So we know that the intercept with the y axis is -3, now we can calculate the x intercept by replacing y=0 so:
[tex]\begin{gathered} 0=\frac{1}{2}x-3 \\ \frac{1}{2}x=3 \\ x=3\cdot2 \\ x=6 \end{gathered}[/tex]
So the correct graph is the first graph
