Question 24793
first get in the form y = mx + b where m is the slope
(1)  {{{y = -2*x - 6}}}
m = -2
the slope intercept form is:
{{{(y - y0) / (x - x0) = m}}}
pick any value for x. I'll pick -3
plug this into (1)
{{{y = (-2 * -3) - 6}}}
solve for y
{{{y = 6 - 6 = 0}}}
so use the point (-3, 0) in the slope intercept form
{{{ (y - 0) / (x - (-3)) = -2}}}
{{{ y / (x + 3) = -2}}} this is the answer
check
multiply both sides by (x + 3)
{{{y = -2 * (x + 3)
{{y = -2*x - 6}}}
that's what we started out with  OK