Parallel Lines (Copy)
Question 1
Find the equation of the line parallel to y = 3x + 2 that passes through (0,5).
Question 2
Find the equation of the line parallel to y = –2x + 7 that passes through (2,4).
Question 3
A line parallel to y = ½x – 3 passes through (–4,6). Write its equation.
Question 4
Find the equation of the line parallel to y = –5x + 1 through (–2,–7).
Question 5
Find the equation of the line parallel to y = 4x – 1 that passes through (1,–3).
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
Question 6
Find the equation of the line parallel to y = –3x + 2 that goes through (5,–1).
Question 7
Find the equation of the line parallel to y = 7x – 4 passing through (–1,8).
Question 8
Find the equation of the line parallel to y = –¼x + 9 through (4,–3).
Question 9
Find the equation of the line parallel to y = 6x + 1 through (0,–2).
Question 10
Find the equation of the line parallel to y = –x + 5 that passes through (3,7).
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
Question 11
Find the equation of the line parallel to y = 2x – 6 that passes through (4,1).
Question 12
Find the equation of the line parallel to y = –7x + 2 that passes through (–3,–5).
Question 13
Find the equation of the line parallel to y = ⅓x – 2 that goes through (6,–4).
Question 14
Find the equation of the line parallel to y = –9x + 7 through (–1,0).
Question 15
Find the equation of the line parallel to y = 5x – 3 through (–2,5).
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
Question 16
Find the equation of the line parallel to y = –6x – 2 passing through (2,–1).
Question 17
Find the equation of the line parallel to y = 2/5x + 4 passing through (10,–3).
Question 18
Find the equation of the line parallel to y = –11x + 8 passing through (–6,4).
Question 19
Find the equation of the line parallel to y = 8x – 10 through (–3,–2).
Question 20
Find the equation of the line parallel to y = –¾x + 7 through (9,–6).
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
Question 21
Find the equation of the line parallel to y = –2/3x + 1 passing through (0,–4).
Question 22
Find the equation of the line parallel to y = 10x – 5 that passes through (–5,2).
Question 23
Find the equation of the line parallel to y = –12x + 3 that passes through (7,–1).
Question 24
Find the equation of the line parallel to y = ⅔x – 9 passing through (3,4).
Question 25
Find the equation of the line parallel to y = –1/5x + 6 passing through (5,–5).
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
Question 26
Find the equation of the line parallel to y = 15x – 7 through (–2,–9).
Question 27
Find the equation of the line parallel to y = –2x – 4 that passes through (–3,–3).
Question 28
Find the equation of the line parallel to y = –½x + 10 through (8,–2).
Question 29
Find the equation of the line parallel to y = ¾x – 11 that passes through (4,–8).
Question 30
Find the equation of the line parallel to y = –x – 5 through (–6,7).
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
1.
y = 3x + 2 → m = 3.
Through (0,5): y – 5 = 3(x – 0) → y = 3x + 5.
2.
y = –2x + 7 → m = –2.
Through (2,4): y – 4 = –2(x – 2) → y = –2x + 8.
3.
y = ½x – 3 → m = ½.
Through (–4,6): y – 6 = ½(x + 4) → y = ½x + 8.
4.
y = –5x + 1 → m = –5.
Through (–2,–7): y + 7 = –5(x + 2) → y = –5x – 17.
5.
y = 4x – 1 → m = 4.
Through (1,–3): y + 3 = 4(x – 1) → y = 4x – 7.
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
6.
m = –3. Through (5,–1): y + 1 = –3(x – 5) → y = –3x + 14.
7.
m = 7. Through (–1,8): y – 8 = 7(x + 1) → y = 7x + 15.
8.
m = –¼. Through (4,–3): y + 3 = –¼(x – 4) → y = –¼x – 2.
9.
m = 6. Through (0,–2): y + 2 = 6x → y = 6x – 2.
10.
m = –1. Through (3,7): y – 7 = –1(x – 3) → y = –x + 10.
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
11.
m = 2. Through (4,1): y – 1 = 2(x – 4) → y = 2x – 7.
12.
m = –7. Through (–3,–5): y + 5 = –7(x + 3) → y = –7x – 26.
13.
m = ⅓. Through (6,–4): y + 4 = ⅓(x – 6) → y = ⅓x – 6.
14.
m = –9. Through (–1,0): y – 0 = –9(x + 1) → y = –9x – 9.
15.
m = 5. Through (–2,5): y – 5 = 5(x + 2) → y = 5x + 15.
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
16.
m = –6. Through (2,–1): y + 1 = –6(x – 2) → y = –6x + 11.
17.
m = 2/5. Through (10,–3): y + 3 = 2/5(x – 10) → y = 2/5x – 7.
18.
m = –11. Through (–6,4): y – 4 = –11(x + 6) → y = –11x – 62.
19.
m = 8. Through (–3,–2): y + 2 = 8(x + 3) → y = 8x + 22.
20.
m = –¾. Through (9,–6): y + 6 = –¾(x – 9) → y = –¾x + ¾×9 – 6 = –¾x + ¾.
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
21.
m = –2/3. Through (0,–4): y + 4 = –2/3(x – 0) → y = –2/3x – 4.
22.
m = 10. Through (–5,2): y – 2 = 10(x + 5) → y = 10x + 52.
23.
m = –12. Through (7,–1): y + 1 = –12(x – 7) → y = –12x + 83.
24.
m = ⅔. Through (3,4): y – 4 = ⅔(x – 3) → y = ⅔x + 2.
25.
m = –1/5. Through (5,–5): y + 5 = –1/5(x – 5) → y = –1/5x – 4.
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course
26.
m = 15. Through (–2,–9): y + 9 = 15(x + 2) → y = 15x + 21.
27.
m = –2. Through (–3,–3): y + 3 = –2(x + 3) → y = –2x – 9.
28.
m = –½. Through (8,–2): y + 2 = –½(x – 8) → y = –½x + 2.
29.
m = ¾. Through (4,–8): y + 8 = ¾(x – 4) → y = ¾x – 11.
30.
m = –1. Through (–6,7): y – 7 = –1(x + 6) → y = –x + 1.
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Mathematics Full Scale Course