Linear Law,Just 1 Strategy Makes A Grade Difference

What is Linear Law?

It is a tool which will allow you to transform non-straight line equation to straight line equation so that you can plot a straight line. Most of the time, the axis will consist of x and/or y

One of the techniques involving taking lg (log base 10) on both sides of the given equation.

Common Mistake! STOP
$y=Ax^b=>lgy=blgAx=>blgA+blgx$

This is one of the common mistakes I have highlighted in Top 7 Commonly Made Mistakes in Logarithm

How To Counter This Mistake

Very simple. Just add in a bracket on the right hand side of the equation.
$y=(Ax^b)
=>lgy=lg(Ax^b)
=> lgy=lgA+blgx
$

Now, your y-axis will be lg y and x-axis will be lg x. Gradient = b and y-intercept = lg A

Ai Ling Ong

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

2 Responses to Linear Law,Just 1 Strategy Makes A Grade Difference
1. kate
July 21, 2008 | 8:56 pm

Hi...nice to meet you. I am a O level student from M'sia. I'm searching high and low for the history of Linear Law. Do you have it? i need this for my MCE additional project. I hope you can help me out. Thanks alot Ms Ai Ling.