To get x-intercepts: set the y value to 0.
[tex]y=-\frac{1}{2}x-3\rightarrow 0=-\frac{1}{2}x-3[/tex]
[tex]3=-\frac{1}{2}x[/tex] which becomes [tex]3\times-\frac{2}{1}=x=3\times-2=-6[/tex]
So your x-intercept is (-6,0)
To get y-intercepts: set the x value to 0.
[tex]y=-\frac{1}{2}-3\rightarrow y=-\frac{1}{2}(0)-3[/tex]
[tex]y=0-3=-3[/tex]
So your y-intercept is (0,-3)