# Reduce Non-Linear Function to Linear Function - Examples (a) to (f)

Reduce each of the following equations to the linear form. Hence, state the gradient and the Y-intercept of the linear equations in terms of  a and b.
(a)$y=a{x}^{3}+b{x}^{2}$
(b)$y=ax+\frac{b}{x}$
(c)$y=ax-b{x}^{2}$
(d)$xy=\frac{p}{x}+qx$
(e)$y=a\sqrt{x}+\frac{b}{\sqrt{x}}$
(f)$\frac{a}{y}=\frac{b}{x}+1$

[Note :
X and Y cannot have constant, but can have the variables (for example x and y)
m and c can only have the constant(for example a and b), cannot have the variables x and y]

Tips to reduce Non-Linear Function to Linear Function