standard form is ax+by=c
we are given that slope is 3 and y intercept is -2
we can use slope-intercept which is y=mx+b where m=slope and b=y-intercept
so or slope=3=m and y-intercept=-2=b, we get
y=3x-2
now get into ax+by=c form
y=3x-2
minus 3x both sides
-3x+y=-2
some people like the coefient in front of x to be positive so
multiply both sides by -1
3x-y=2 i standard form