Question 83877
{{{5y - 4x = -31  }}} Start with the given equation 
{{{5y  = -31 + 4x }}} Add {{{4x}}} to both sides
{{{y  = -31/5 + (4/5)x }}} Divide both sides by {{{5}}} 


So the equation is now in slope intercept form {{{y=mx+b}}} where the slope is  {{{m=4/5}}} and the y intercept is (0,{{{-31/5}}})