6.5.1 Reduce Non-Linear Function to Linear Function – Examples (a) to (f)

Examples:
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]

Solution: