Question 339008
(1) You have to get the given equation into
the form {{{y = mx + b}}}, where {{{m}}} is the slope
Any line parallel to the given line
will have the same slope.
{{{3x + 6y = -12}}}
{{{6y = -3x - 12}}}
{{{y = -(1/2)*x - 2}}}
{{{m = -1/2}}}
Now I know the general form I want is
{{{y = -(1/2)*x + b}}}
Now plug in (4,-2) to find {{{b}}}
{{{-2 = -(1/2)*4 + b}}} 
{{{b = -2 + 2}}}
{{{b = 0}}}
The solution is {{{y = -(1/2)*x}}}
(2)
Start with the general form
{{{y = mx + b}}}
From the given info, {{{m}}} can be anything, so I pick {{{m = 1}}}
Given: (3,5)
{{{5 = 1*3 + b}}}
{{{b = 2}}}
{{{y = x + 2}}} is one possible answer