Expert: Ahmed Salami - 6/20/2004

Question
Your question was
How do you put each of these in a linear form, please?

1) y = ax + bx

2) m-b = a/n   a and b are constants

3) y = a/(x-b) a and b are constants

4) c = T/(A+kT) A and k are constants

My background:
Unemployed Science graduate. I give private tuition in Maths. Began 1971. No degree in Maths.


Answer
Hi Andrew,
Sorry about the delay.

y = ax + bx = (a+b)x
y against x is therefore linear

m - b = a/n
You could go about it in these two ways
m = a/n + b
m against 1/n is therefore linear
OR
mn - bn = a
mn = bn + a
mn against n is therefore linear

y = a / (x - b)
y against 1 / (x - b) is linear
OR
xy - by = a
xy = by + a
xy against y is therefore linear

c = T / A + KT
A + KT = T / c
T / c against T is therefore linear

I hope this is what you required.
If not, then get back to me.
Regards.