# Find the x- and y-intercepts of the equation. -5x+8y=80

Question
Upper level algebra
Find the x- and y-intercepts of the equation.
$$\displaystyle-{5}{x}+{8}{y}={80}$$

2020-10-28
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 $$\displaystyle{\left({x},{y}\right)}={\left({0},{10}\right)}$$

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