Answer
x-intercept:$(6,0)$
y-intercept: $(0,3)$
symmetry: origin
Work Step by Step
x-intercept:
$0=-\frac{1}{2}x+3$
$\frac{1}{2}x=3$
$x=6$
y-intercept:
$y=-\frac{1}{2}*0+3$
$y=3$
y-axis symmetry:
$y=-\frac{1}{2}(-x)+3$
$y=\frac{1}{2}x+3$
asymmetrical
origin symmetry:
$-y=-\frac{1}{2}(-x)+3$
$y=-\frac{1}{2}x+3$
symmetrical