Question 132979
{{{3x=4y-2}}} Start with the given equation



{{{3x+2=4y}}} Add 2 to both sides



{{{(3x+2)/4=cross(4/4)y}}} Divide both sides by 4



{{{(3/4)x+2/4=y}}} Break up the fraction



{{{(3/4)x+1/2=y}}} Reduce



{{{y=(3/4)x+1/2}}} Rearrange the equation


So the equation is in slope intercept form {{{y=mx+b}}} where the slope is {{{m=3/4}}}