Page 9 - 1202 Question Bank Additional Mathematics Form 4

6 Linear Law
Chapter

NOTES

6.1 Linear and Non-Linear Relations For example,
y = ax + b
2
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1. A line of best fit is a line that has the following
2
characteristics: To form a linear equation, let Y = y and X = x .
(a) The line passes through as many given points as We have Y = aX + b where a is the gradient and b is
possible. the Y-intercept.
(b) The points which do not lie on the line are fairly y Y
distributed on two sides of the line.
Y = aX + b
y = ax + b
2
6.2 Linear Law and Non-Linear
Relations b b
x X
1. A non-linear relation of two variables can be 0 0
reduced to a linear form by substitution method. A non-linear graph A linear graph

PAPER 1

Section A

1. Reduce the following non-linear relations to the linear 2. The diagram shows a line of best fit obtained by
form Y = mX + c. Identify and state the quantities plotting a graph of y against x.
represented by Y, X, m and c. y
(a) yx = 3x + x [2 marks]
3
x – y 1
(b) xy = 3 [2 marks]
(c) y = 100a [2 marks] (–1, 3)
2x
Answer: (1, 1)
(a) x
0
(3, k)
Find
(a) the equation of the line of best fit, [2 marks]
(b) (b) the value of k. [2 marks]
Answer:
(a)

(c)

(b)

PB Question 2: 49
SOS TIP PBPB (a) Find the gradient of the line, m. 49 SOS TIP

Then, use (y – y ) = m(x – x ) to find the equation of the line
1
1
(b) Insert x = 3, y = k in the equation of the line to get the value of k

06_1202 QB AMath F4.indd 49 09/05/2022 11:33 AM