Question

Find the x-and y-intercepts of the graph of the equation algebraically. y=12-5x

Upper level algebra
ANSWERED
asked 2020-12-25
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={12}-{5}{x}\)

Answers (1)

2020-12-26
Calculation:
Consider, the equation, \(\displaystyle{y}={12}-{5}{x}\),
To compute x-intercept, put \(\displaystyle{y}={0}\).
\(\displaystyle{0}={12}-{5}{x}\)
Subtract by 12, this gives,
\(\displaystyle{0}-{12}={12}-{5}{x}-{12}\)
\(\displaystyle-{12}=-{5}{x}\)
Divide the equation by -5,
\(\displaystyle{\frac{{-{5}{x}}}{{-{5}}}}={\frac{{-{12}}}{{-{5}}}}\)
\(\displaystyle{x}={\frac{{{12}}}{{{5}}}}\)
So, the x-intercept is \(\displaystyle{\left({\frac{{{12}}}{{{5}}}},{0}\right)}\).
To compute y-intercept, put \(\displaystyle{x}={0}\).
\(\displaystyle{y}={12}-{5}{\left({0}\right)}={12}\)
So, the y-intercept is(0,12).
Hence, the x and y-intercepts of \(\displaystyle{y}={12}-{5}{x}{\left({\frac{{{12}}}{{{5}}}},{0}\right)}\) and(0,12),respectively.
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