Page 135 - Mathematics

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,
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)
1)
(c) (3, 7), (1, − (i) (2, 6), (0, 3)
 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

Mathematics form 1.indd 129 25/10/2024 09:51:48
25/10/2024 09:51:48
Mathematics form 1.indd 129