Page 130 - Mathematics

Example 6.5

Find the gradient of a straight line given in the following figure.

y

6

P(-3, 5)
5

4
Tanzania Institute of Education
3

2

Q(0, 1)
1

-4 -3 -2 -1 0 1 2 3 x

-1

-2

Solution

Given points P( 3, 5)− and Q(0, 1).
Let ( ,xy 1 ) ( 3, 5)= − and ( ,x y 2 ) (0, 1).=
2
1
y − y
From m = x − x 1 1 , it follows that,
2
2
Mathematics Form One m = 0 ( 3)− − 4 .
15−

4
= −
3
Therefore, the gradient of a line PQ is −
3

124

25/10/2024 09:51:47
Mathematics form 1.indd 124
Mathematics form 1.indd 124 25/10/2024 09:51:47