Page 136 - Mathematics_F1

Exercise 6.2

1. Plot each of the following pair of points on a graph paper and join them
to obtain a straight line, hence state whether the gradient is positive,
FOR ONLINE READING ONLY
negative, zero or undefined. Tanzania Institute of Education
(a) (0, 3), (2, 5) (d) (2, 6), (5, 3)
(b) (5, 8), (4, 1) (e) (1, 6), (3, –1)
(c) (3, 6), (–2, –1)

2. Calculate the gradient of the straight line passing through each of the
following pairs of points:

(a) (2, 1), (7, 6) (g) ( 2, 1), (4, 3)−

(b) (5, 12), (3, 2) (h) ( 4, 4), ( 3,− − − 3)
(c) (3, 7), (1, − (i) (2, 6), (0, 3)
1)
 1 1  1 
, −
(d) ( 1, 5),− (4, 1) (j) 3 ,  7 , 2 

 2 2  2 
(e) ( 1,6),(4, 1)− (k) (99, 6), (119, 1)

(f) ( 4, 4), (1,− − 4) (l) (0.64, − 0.62), ( 1.36,− − 0.62)

3. Study the following graph and answer the questions that follow.

y
5

4 Q

3
2

1
Mathematics Form One
-5 -4 -3 -2 -1 00 1 2 3 4 x
-1
R P
-2

-3

129

25/09/2025 15:01:34
Mathematics form 1.indd 129
Mathematics form 1.indd 129 25/09/2025 15:01:34