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

Find the x-and y-intercepts of the graph of the equation algebraically.
$$\displaystyle{y}={3}{x}-{1}$$

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Raheem Donnelly
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).