Answer
x-intercept: $(\frac{1}{3}, 0)$
y-intercept: $(0, -\frac{1}{6})$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$3x-6y=1
\\3x-6(0)=1
\\3x-0=1
\\3x=1
\\\frac{3x}{3}=\frac{1}{3}
\\x=\frac{1}{3} \approx 0.33$
Thus, the x-intercept is $(\frac{1}{3}, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$3x-6y=1
\\3(0)-6y=1
\\0-6y=1
\\-6y=1
\\\frac{-6y}{-6}=\frac{1}{-6}
\\y=-\frac{1}{6} \approx -0.167$
Thus, the y-intercept is $(0, -\frac{1}{6})$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
