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3. (a) P(3, − 2), Q(0, 4), R( 4.5,− − 2)
4
(b) Gradient of line PQ is 2,− line PR is 0, and line QR is 3 .
(c) Isosceles triangle.
5. p = 1 7. (a) k = (b) k =
2
3
23 Tanzania Institute of Education
2
9. y = − 11. x =
3
Exercise 6.3
7
1. (a) 4x− + 5y = 17 (d) x y+= (g) 3x + 4y = 0
(b) 2x− + 5y = 5 (e) y = 0 (h) 2x− + 3y = 20
(c) 2x− + 3y = 11 (f) 2x + 5y = − 14 (i) 3x + 7y = − 12
0
(j) x y+=
3. (a) y = − 10x + 48, 24 , 0 and (0, 48)
5
(b) y = 5 x + 7 , − 7 , 0 and 0, 7
4 4 5 4
(c) y = 3 x + 21 , ( 7,0) and 0,− 21
4 4 4
(d) y = −+ 5, (5,0) and (0, 5)
x
2 7 7 7
(e) y = − x + , ,0 and 0,
3 3 2 3
21 77 11 77
(f) y = − x − , ,0 and 0,−
2 4 6 4
10
5. k =
Mathematics Form One
3
191
25/10/2024 09:52:24
Mathematics form 1.indd 191
Mathematics form 1.indd 191 25/10/2024 09:52:24