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Irrational numbers have been known since very early times. For example, it was recognised that the length of the diagonal of a unit square was not a rational number.
The Indians invented 0, then Islamic Arabs brought it to the west.
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The concept of a number line has been used by mathematicians for centuries, so it is difficult to attribute its invention to a specific individual. However, the number line as we know it today was popularized by a German mathematician named Georg Cantor in the late 19th and early 20th centuries. Cantor's work on set theory and the continuum helped to solidify the use of the number line as a visual representation of the real numbers.