Question 709110
Find slope, first for y=mx+b form.
{{{m=(1--2)/(-1-4)}}}
{{{m=3/(-5)}}}
{{{m=-(3/5)}}}
Then using y=mx+b again, b=y-mx. Pick any of the given points.
(4,-2), {{{b=-2-(-3/5)(4)}}}
{{{b=-2+(3/5)4}}}
{{{b=12/5-10/5}}}
{{{b=1/5}}}
Finally, {{{y=-(3/5)x+1/5}}}


Put into standard form:
{{{5*y=5*(-3/5)*x+(1/5)*5}}},[multiply by 5 to clear the fractions]
{{{5y=-3x+1}}}
{{{5y+3x=-3x+1+3x}}}
{{{5y+3x=1}}}
{{{highlight(3x+5y=1)}}}