A parallel line.
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A line with a y-intercept but no x-intercept will be a straight line parallel to the x axis. It will have a slope of zero.
Yes, a zero slope line has no x-intercept.
A vertical line on a graph has infinite slope and no y-intercept. Its equation is [ x = a number ]. The number is the line's x-intercept.
The x-intercept of a line is the point at which the line crosses the x-axis.
At what point the line intersects the y-intercept, in an equation y=mx+b, b is the y-intercept.