Question 741576
slope {{{m=(-4-2)/(8-6)=-6/2=-3}}}


Pick either point and use the ordered pair values in slope-intercept form of equation:
Picking P(6,2),
{{{y=mx+b}}}, general way to show slope intercept form of line equation. 
{{{2=-3*6+b}}}, where b is the y-intercept.
{{{b=2+3*6}}}
{{{b=20}}}


You want equation in standard form, but we can more quickly write the slope-intercept form.  Not a problem.  We can convert into standard form:


{{{y=mx+b}}}
{{{y=-3x+20}}}
{{{highlight(3x+y=20)}}}, just by adding +3x to both sides.  In other examples, sometimes a couple more steps are needed.