Page 128 - Mathematics

Example 6.3

Find the gradient of the line joining points C (2, 7) and D (6, 1).

Solution
Given the points C (2, 7) and D (6, 1). Let ( , ) (6, 1)xy = and (x 2 , y 2 ) (2, 7).=
1
1
y − y
From m = 2 1 , it follows that
x − x 1
2
71−
=
26−
Tanzania Institute of Education
6
=
− 4
3
= −
2
Therefore, the gradient of the line joining the points C and D is − 3 .
2

Example 6.4

Use the following figure to find the gradient or slope of the straight line
joining the points:
(a) B and C (b) B and D

y

3
B(1, 2)
2
1

-3 -2 -1 0 1 2 3 x
-1 C(0, -1)
Mathematics Form One D(-1, -4) -3
-2

-4

-5

122

25/10/2024 09:51:46
Mathematics form 1.indd 122
Mathematics form 1.indd 122 25/10/2024 09:51:46