Answer
Not all lines have one $x$-intercept and one $y$-intercept.
A vertical line can have no $y$-intercept while a horizontal could have no $x$-intercept
All lines have at least one intercept.
Thus, there are no lines with no intercepts.
Work Step by Step
A vertical line for example either has no $y$-intercepts or an infinite number of $y$-intercepts (if the line is the $y$-axis itself).
The same can be said about a horizontal line. It either has no $x$-intercept or an infinite number of $x$-intercepts (if the line is the $x$-axis itself.
Therefore not all lines have exactly one $x$ and $y$-intercept.
However, there is no line that hasn't got any intercepts, as the lines should intersect either the $y$-axis or the $x$-axis.
Thus, all lines have at least one intercept.
