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x-axis and y-axis
The y-intercept is the point that is on the y-axis or where the line crosses the y-axis. (hence, y-INTERCEPT)
Where a line crosses the y an x axis on a graph.
The x-intercept is defined by where a line crosses the x-axis. The y-intercept is defined by where a line crosses the y-axis.
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.