Answer
Not all lines have one $x$-intercept and one $y$-intercept.
All lines have at least one intercept.
Work Step by Step
Not every line have exactly one x-intercept and one y-intercept, for example, $x=1$ has no y-intercept and $y=1$ have no x-intercept.
There is no line that have no intercepts. Every line will intersect at least one axis.