The point is called the y-intercept and it is the point where x = 0.
If the equation of the line is given in the standard form, y = mx+c, then the line crosses the y-axis at (0,c).
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If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points.
Transversal lines are made when one line crosses two parallel lines.
The point where a line crosses the x-axis is called the x-intercept.
There is no specific name for lines that meet at one point, but lines that meet at a point, the point is called the intersection point.
It is the y-intercept.