Convert each of these non-linear equations into the form Y = mX + c, where a and b are constants. State clearly what the variables X and Y and the constants m and c represent.

a. y = ax² + b

b. y = ax + b/x

c. y = ax² – bx

d. y(a – x) = bx

e. y = a√x + b√x

f. y = a/x² + b

g. x = axy + by

h. 1/y = a√x - b√x