Let's look at the slope-intercept form.
Y = MX + B
M= Slope
B= Y intercept.
The slope of the equation is 5/6. So the equation looks like.
5/6x+b=y
The y intercept is -3. Remember it's negative so we'll have to subtract.
The equation looks like:
5/6x-3=y
So the third option is the answer, y=5/6x-3