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There is no limit to the number of y-intercepts a line can have. The axis itself is a line and it intercepts itself an infinite number of times.
Irrational numbers can be graphed at a number line, but only as an estimation.
The number would be 7.9 on a number line. What you can do to find this number is go to the spot on the number line that says 7 and 8. Cut the number line between 7 and 8 into 10 pieces. Then count to the ninth peice and this is 7.9
Draw a line, from 0, angled at 45 degrees to the number line. Let P be the point at 4.3 units along this line. Drop a perpendicular from P to the number line - to meet it at Q. Then OQ = sqrt(4.3). Repeat on the negative side of the number line.
On the Cartesian plane the horizontal number line is the x axis.