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Verified Answer :

The y-intercept is the value of y when x=0:
\(y=\frac{1}{3}(0)-6\)
\(\rightarrow y=-6\)

The x-intercept is the value of x when y=0:
\(0=\frac{1}{3}x-6\)
\(\rightarrow\frac{1}{3}x=6\)
\(\rightarrow x=18\)