find expressions for the slope and x- and y-intercept for ax+by=c where a b and c are nonzero integer

the x intercept is when y=0, in this case ax=c  =>x=c/a
the y intercept is when x=0, in this case by=c  =>y=c/b
the slope: by=-ax+c  =>y=(-a/b)x+(c/b), so the slope is -a/b, the y intercept is c/b, which matches the answer in the second line.