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.