NO!!! Because it is not equated to any value.
However if you mean y^(2) - 5x = 0
Then y^(2) = 5x is NOT a linear equation. It is a parabola lying on its side.
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It is the linear equation of a straight line.
A linear equation is of the form y=mx+c, where m and c are constants. Therefore, y=5x is a linear equation. Here m=5 and c=0.
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No. It is a linear equation (y = 5/2 x + 5). A quadratic equation requires a squared term, for example y = x2 + 5x + 6; this can be solved for x given y = 0, as in solving x2 + 5x + 6 = 0.