Yes.
By the way, w = -1/16
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y = 2x + 1 IS a linear equation!
It is a non-linear equation in x and y. The equation cannot be solved without further information.
Assuming that the 2 in "5x2" is a power (5x2), then no, this is not a linear equation. It is a parabolic equation.
It is the linear equation of a straight line.
Yes, it is a linear straight line equation.