Find the x-and y-intercepts of the graph of the equation algebraically. y=3x-1

DofotheroU 2021-01-31 Answered
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={3}{x}-{1}\)

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Expert Answer

Raheem Donnelly
Answered 2021-02-01 Author has 10440 answers
Calculation:
Consider, the equation,
\(\displaystyle{y}={3}{x}-{1}\)
To determine x-intercept, substitute \(\displaystyle{y}={0}\) in the above equation,
\(\displaystyle{0}={3}{x}-{1}\)
\(\displaystyle{3}{x}={1}\)
\(\displaystyle{x}={\frac{{{1}}}{{{3}}}}\)
Therefore, the x-intercept is \(\displaystyle{\left({\frac{{{1}}}{{{3}}}},{0}\right)}\).
To determine y -intercept, substitute \(\displaystyle{x}={0}\) in the equation, \(\displaystyle{y}={3}{x}-{1}\),
\(\displaystyle{y}={3}{\left({0}\right)}-{1}\)
\(\displaystyle={0}-{1}=-{1}\)
Therefore, y -intercept is (0, -1).
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