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[ 5x - 5 ] is not an equation at all, until you say that it's 'equal' to something.
If you say that it's equal to a number, or to another multiple of 'x', or even
to a multiple of 'y', then you'll have a linear equation.
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.
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.
dy/dx = 5/4
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.
It is the linear equation of a straight line.