Find the $x$- and $y$-intercepts of the line given by $\frac{1}{2}x-y=3$.

$x$-intercept: $(3,0)$

$y$-intercept: $(0,-6)$

$x$-intercept: $(12,0)$

$y$-intercept: $(0,-\frac{3}{2})$

$x$-intercept: $(0,6)$

$y$-intercept: $(-3,0)$

$x$-intercept: $(6,0)$

$y$-intercept: $(0,-3)$