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

Question
Upper level algebra
asked 2020-10-27
Find the x- and y-intercepts of the equation.
\(\displaystyle-{5}{x}+{8}{y}={80}\)

Answers (1)

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

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