Question 810326
Standard for for a linear equation is as Ax+By=C.
You can start with point-slope form for a line and perform arithmetic steps to obtain the equation in standard form.


General point  (x,y) and given point (1,5) in the formula for slope:
{{{3=(y-5)/(x-1)}}}


The steps to adjust its form:
{{{3(x-1)=y-5}}}
{{{3x-3=y-5}}}
{{{3x-y=-5+3}}}
{{{highlight(3x-y=-2)}}}


The key idea is know the formula for slope.