 ## 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 = a x + b x (c)  y = a x − b x 2 (d)  … Read more

## 6.4.2 Tips to reduce Non-Linear Function to Linear Function

Tips:(1)  The equation must have one constant (without x and y). (2)  X and Y cannot have constant, but can have the variables (for example x and y). (3)  m and c can only have the constant (for example a and b), cannot have the variables x and y. Examples (1) X and Y cannot … Read more

## 6.4.1 Linear versus Non-linear Function

Linear Function (Straight Line) Examples :(a) y = 3x + 5 (b) 3y + 2x – 7 = 0 Non-Linear Function Examples :(a) y = a x 3 + b x 2 (b) y = a x + b x (c) y = a b x (d) y = x p + q x

## 6.3 Equations of Line of Best Fit

A set of two variables are related non linearly can be converted to a linear equation.  The line of best fit can be written in the form Y = mX + c where X and Y are in terms of x and/or y m is the gradient, c is the Y-intercept Recall: To find equation … Read more

## 6.2.1 Steps to draw the Line of Best Fit

Steps to draw a line of Best Fit (i) Select suitable scales for the x-axis and the y-axis, make sure the points plotted accurately and the graph produced is large enough on the graph paper, (ii) Mark the points correctly, (iii) Use a long and transparent ruler to draw the line of best fit. Step … Read more

## 6.2 The Line of Best Fit

6.2 The Line of Best Fit Line of best fit has 2 characteristics:(i) it passes through as many points as possible, (ii) the number of points which are not on the line of best fit are equally distributed on the both sides of the line. Example Check whether the following graph has the characteristic of the … Read more

## 6.1 Revise of Important Concept (Straight Line)

(A) Equation of a straight Line   An equation of straight line is given by y = mx + c.• The variables x and y are linearly related • The term c is known as y-intercept. It represents the y value where the line cuts the y-axis • The term m is the gradient of the … Read more