For x-intercept

Put \(\displaystyle{y}={0}\)

\(\displaystyle-{5}{x}+{8}{\left({0}\right)}={80}\)

\(\displaystyle-{5}{x}={80}\)

\(\displaystyle{x}=-{\frac{{{80}}}{{{5}}}}\)

\(\displaystyle{x}=-{16}\)

x-intercept \(\displaystyle{\left({x},{y}\right)}={\left(-{16},{0}\right)}\)

For y-intercept

Put \(\displaystyle{x}={0}\)

\(\displaystyle-{5}{\left({0}\right)}+{8}{y}={80}\)

\(\displaystyle{8}{y}={80}\)

\(\displaystyle{y}={\frac{{{80}}}{{{8}}}}\)

\(\displaystyle{y}={10}\)

y-intercept \(\displaystyle{\left({x},{y}\right)}={\left({0},{10}\right)}\)

Put \(\displaystyle{y}={0}\)

\(\displaystyle-{5}{x}+{8}{\left({0}\right)}={80}\)

\(\displaystyle-{5}{x}={80}\)

\(\displaystyle{x}=-{\frac{{{80}}}{{{5}}}}\)

\(\displaystyle{x}=-{16}\)

x-intercept \(\displaystyle{\left({x},{y}\right)}={\left(-{16},{0}\right)}\)

For y-intercept

Put \(\displaystyle{x}={0}\)

\(\displaystyle-{5}{\left({0}\right)}+{8}{y}={80}\)

\(\displaystyle{8}{y}={80}\)

\(\displaystyle{y}={\frac{{{80}}}{{{8}}}}\)

\(\displaystyle{y}={10}\)

y-intercept \(\displaystyle{\left({x},{y}\right)}={\left({0},{10}\right)}\)