Calculation:

Consider the following function

\(\displaystyle{7}{x}+{2}{y}={56}\)

For x-intercept put \(\displaystyle{y}={0}\)

\(\displaystyle{7}{x}+{2}{\left({0}\right)}={56}\)

\(\displaystyle{7}{x}={56}\)

\(\displaystyle{x}={\frac{{{56}}}{{{7}}}}\)

\(\displaystyle{x}={8}\)

Hence, the x-intercept is at (8, 0)

For y-intercept put \(\displaystyle{x}={0}\)

\(\displaystyle{7}{\left({0}\right)}+{2}{y}={56}\)

\(\displaystyle{2}{y}={56}\)

\(\displaystyle{y}={\frac{{{56}}}{{{2}}}}\)

\(\displaystyle{y}={28}\)

Hence, the y-intercept is at (0.28)

Consider the following function

\(\displaystyle{7}{x}+{2}{y}={56}\)

For x-intercept put \(\displaystyle{y}={0}\)

\(\displaystyle{7}{x}+{2}{\left({0}\right)}={56}\)

\(\displaystyle{7}{x}={56}\)

\(\displaystyle{x}={\frac{{{56}}}{{{7}}}}\)

\(\displaystyle{x}={8}\)

Hence, the x-intercept is at (8, 0)

For y-intercept put \(\displaystyle{x}={0}\)

\(\displaystyle{7}{\left({0}\right)}+{2}{y}={56}\)

\(\displaystyle{2}{y}={56}\)

\(\displaystyle{y}={\frac{{{56}}}{{{2}}}}\)

\(\displaystyle{y}={28}\)

Hence, the y-intercept is at (0.28)