Page 143 - Mathematics_F1

Exercise 6.3

1. Find the equation in each of the lines passing through the following pair
of points.
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(a) (7, 9), (2, 5) (f) ( 2,− − 2), (3, − 4)
(b) (5, 3), (0, 1) (g) ( 4, 3), (8,− − 6)
(c) (2, 5), (5, 7) (h) ( 7, 2), ( 1, 6)− −
(d) (6, 1),(1,6) (i) ( 4, 0), (3,− − 3)
(e) (4,0),(3,0) (j) (0, 0), ( 2, 2)−
Tanzania Institute of Education
2. Find the -intercepty in each of the lines joining the following pair of
points.

(a) (0, 0), ( 3,− − 4) (c) (2, 3), ( 3, 1)− (e) ( 5, 2), (3, 2)−
(b) ( 4,− − 4), (4, 4) (d) (0, 4), (4, 0) (f) (1,−− 2), (5,− − 5)

3. Find the equation of a straight line passing through each of the following
points and state x and y-intercepts.
(a) A (4, 8) and B (5, 2)−

(b) P (1, 3) and Q( 3, 2)−−
(c) R (1, 6) and S (5, 9)

(d) C (3, 2) and D(7, 2)−
1    1 
(e) T  , 2 and J 3, 


2    3 
 1   1 
(f) T − 2 ,7 and L 8, − 2 



 2   2 
4. Verify whether the points ( 2, 2)− and (6, 0) lie on the line joining the
points A( 4, 1)− and B (2, 4).

5. Determine the value of k in order that the straight line whose equation
Mathematics Form One 6. What should be the value of t for the straight line represented by the
5
is kx y−= passes through the point (3, 5).

=
16 to pass through the point (5, –4)?
equation 3x ty−
7. Nyanda applies 2 bags of fertilizers to his 4 acres farm while Myoma
applies 6 bags to her 12 acres farm. Taking x to be the number of bags
of fertilizers and y to be the size of the farm in acres;

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Mathematics form 1.indd 136
Mathematics form 1.indd 136 25/09/2025 15:01:40