Slope \(\displaystyle{\left({m}\right)}=-\frac{{3}}{{4}}\)

(b) y-intercept \(\displaystyle=\frac{{1}}{{3}}\)

\(\displaystyle{f{{\left({x}\right)}}}={m}{x}+{b}=-\frac{{{3}{x}}}{{4}}+\frac{{1}}{{3}}\)

\(\displaystyle{f{{\left({x}\right)}}}=\frac{{-{3}{x}}}{{4}}+\frac{{1}}{{3}}\)

(b) y-intercept \(\displaystyle=\frac{{1}}{{3}}\)

\(\displaystyle{f{{\left({x}\right)}}}={m}{x}+{b}=-\frac{{{3}{x}}}{{4}}+\frac{{1}}{{3}}\)

\(\displaystyle{f{{\left({x}\right)}}}=\frac{{-{3}{x}}}{{4}}+\frac{{1}}{{3}}\)