# Find the x-and y-intercepts of this equation. 7x+2y=56 Question
Upper level algebra Find the x-and y-intercepts of this equation.
$$\displaystyle{7}{x}+{2}{y}={56}$$ 2020-12-18
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)

### Relevant Questions Find the x-and y-intercepts of the given equation.
$$\displaystyle{7}{x}+{9}{y}=-{63}$$ Find the x-and y-intercepts of the graph of the equation algebraically.
$$\displaystyle{y}={4}{\left({7}{x}+{1}\right)}$$ Find the x-and y-intercepts of the graph of the equation algebraically.
$$\displaystyle{\frac{{{8}{x}}}{{{3}}}}+{50}-{2}{y}={0}$$ Find the x-and y-intercepts of this equation.
$$\displaystyle-{2}{x}+{5}{y}={20}$$ Find the x-and y-intercepts of this equation.
$$\displaystyle{h}{\left({x}\right)}={3}{x}-{5}$$ Find the x-and y-intercepts of this equation.
$$\displaystyle{f{{\left({x}\right)}}}=-{x}+{2}$$ Find the x-and y-intercepts of this equation.
$$\displaystyle{k}{\left({x}\right)}=-{5}{x}+{1}$$ $$\displaystyle-{5}{x}+{8}{y}={80}$$ $$\displaystyle{y}={14}{x}-{6}$$ $$\displaystyle{y}={\frac{{{1}}}{{{3}}}}{x}-{5}$$