Best way to find the intercept of 15x-12y=60, or of any line for that matter, is to put it into slope intercept form y=mx+b, where m is the slope and b is the y intercept
to do this we will need some equation manipulation to get it = to y
15x-12y=60
(15x-12y)+12y=(60)+12y
15x=60+12y
(15x)-60=(60+12y)-60
15x-60=12y
(15x-60)/12=(12y)/12
(5/4)x-5=y
y=(5/4)x-5
so m = 5/4 and b = -5
Final answer:
The y-intercept is at (0,-5)
Hope I could help :)
