The horizontal asymptote for y = 0 when the degree is greater than the denominator, resulting in the inability to do long division.
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Y=0 is nothing more than a horizontal line along the X axis.
If you mean y = 2^x, then no, it is not a linear equation. This is an exponential equation. The graph of this exponential equation would start out near zero on the left-hand side (there is a horizontal asymptote at y = 0) and would gradually increase as you move to the right: overall, it has a curved shaped. If you mean y = 2x, then yes, it is a linear equation.
A horizontal line crossing the y axis at 3.
Which means 0 = -1!
It remains a vertical asymptote. Instead on going towards y = + infinity it will go towards y = - infinity and conversely.