Question 5829
put it in the form y=mx + b 
the "b" will be the y-intercept.

{{{5x-(1/6)*y = 3}}}
subtract 5x from both sides:
{{{-(1/6)*y=-5x+3}}}
multiply both sides by -6 to clear the denominator:
{{{y=30x-18}}}
so the y intercept occurs at (0,-18)