Answer
(a) $y=-\frac{1}{2}x$
(b) $x+2y=0$
(c) See graph
Work Step by Step
(a)
$y-(-3)=-\frac{1}{2}(x-6)$
$y+3=-\frac{1}{2}x+3$
$y=-\frac{1}{2}x$
(b)
$y=-\frac{1}{2}x$ (Multiply by 2)
$2y=-x$ (Add with $x$)
$x+2y=0$
(c) We graph the line