Question 141082
First we need to solve for y to get it into slope intercept form




{{{3x-y=4}}} Start with the given equation



{{{-y=4-3x}}}  Subtract {{{3 x}}} from both sides



{{{-y=-3x+4}}} Rearrange the equation



{{{y=(-3x+4)/(-1)}}} Divide both sides by {{{-1}}}



{{{y=(-3/-1)x+(4)/(-1)}}} Break up the fraction



{{{y=3x-4}}} Reduce




So the equation is now in slope-intercept form ({{{y=mx+b}}}) where the slope is {{{m=3}}} and the y-intercept is {{{b=-4}}}