Answer
x-intercept: $(\frac{1}{3},0)$
y-intercept: $(0,-1)$
Work Step by Step
$y=3x-1$
Make $y=0$ to find the x-intercept:
$0=3x-1$
$-3x=-1$
$x=\frac{1}{3}$
We have the point: $(\frac{1}{3},0)$
Make $x=0$ to find the y-intercept:
$y=3(0)-1=0-1=-1$
We have the point: $(0,-1)$