EduSahara™ Assignment
Name : Graphs of Linear Equations
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the set of points satisfying the equation
(
−
12
x
+
12
y
)
=
0
(i)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
1
)
,
(
2
,
2
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
1
,
1
)
,
(
4
,
4
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
0
,
2
)
,
(
2
,
2
)
(iv)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
1
,
1
)
,
(
2
,
2
)
(v)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
1
)
,
(
2
,
2
)
Question
2
2.
Find the set of points satisfying the equation
y
=
(
−
9
11
x
+
37
11
)
(i)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
46
11
)
,
(
1
,
26
11
)
,
(
1
,
28
11
)
,
(
2
,
19
11
)
(ii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
46
11
)
,
(
0
,
37
11
)
,
(
1
,
28
11
)
,
(
4
,
41
11
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
46
11
)
,
(
(
−
2
)
,
15
11
)
,
(
1
,
28
11
)
,
(
2
,
19
11
)
(iv)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
46
11
)
,
(
0
,
37
11
)
,
(
1
,
28
11
)
,
(
2
,
19
11
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
46
11
)
,
(
0
,
37
11
)
,
(
0
,
39
11
)
,
(
2
,
19
11
)
Question
3
3.
Find the set of points satisfying the equation
x
=
(
2
y
−
2
)
(i)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
1
)
,
(
1
,
3
2
)
,
(
2
,
2
)
(ii)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
1
)
,
(
0
,
5
2
)
,
(
2
,
2
)
(iii)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
1
)
,
(
1
,
3
2
)
,
(
4
,
4
)
(iv)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
1
2
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
1
,
3
2
)
,
(
2
,
2
)
(v)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
1
2
)
,
(
1
,
0
)
,
(
1
,
3
2
)
,
(
2
,
2
)
Question
4
4.
Find the set of points satisfying the equation
y
=
x
(i)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
1
)
,
(
2
,
2
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
1
)
,
(
2
,
2
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
0
,
2
)
,
(
2
,
2
)
(iv)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
1
,
1
)
,
(
2
,
2
)
(v)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
1
,
1
)
,
(
4
,
4
)
Question
5
5.
Find the set of points satisfying the equation
(
7
x
+
12
y
−
6
)
=
0
(i)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
13
12
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
1
12
)
)
,
(
2
,
(
−
2
3
)
)
(ii)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
13
12
)
,
(
0
,
1
2
)
,
(
0
,
11
12
)
,
(
2
,
(
−
2
3
)
)
(iii)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
13
12
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
12
)
)
,
(
4
,
4
3
)
(iv)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
13
12
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
12
)
)
,
(
2
,
(
−
2
3
)
)
(v)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
13
12
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
1
12
)
)
,
(
2
,
(
−
2
3
)
)
Question
6
6.
Find the set of points satisfying the equation
y
=
(
−
7
)
(i)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
4
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(iii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
1
,
(
−
8
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(iv)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
(
−
2
)
,
(
−
9
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(v)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
0
,
(
−
6
)
)
,
(
2
,
(
−
7
)
)
Question
7
7.
Find the set of points satisfying the equation
x
=
2
(i)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
0
,
(
−
2
)
)
,
(
2
,
1
)
,
(
2
,
2
)
(ii)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
3
,
(
−
1
)
)
,
(
2
,
1
)
,
(
2
,
2
)
(iii)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
2
,
1
)
,
(
2
,
2
)
(iv)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
2
,
1
)
,
(
4
,
4
)
(v)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
1
,
2
)
,
(
2
,
2
)
Question
8
8.
Which of the following equations satisfy the given points
(
(
−
2
)
,
9
)
,
(
(
−
1
)
,
36
5
)
,
(
0
,
27
5
)
,
(
1
,
18
5
)
,
(
2
,
9
5
)
?
(i)
(
27
x
+
20
y
−
15
)
=
0
(ii)
(
−
18
x
−
10
y
+
54
)
=
0
(iii)
x
=
9
(iv)
x
=
(
9
5
y
+
9
5
)
(v)
y
=
4
Question
9
9.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
19
5
)
)
,
(
(
−
1
)
,
(
−
23
5
)
)
,
(
0
,
(
−
27
5
)
)
,
(
1
,
(
−
31
5
)
)
,
(
2
,
(
−
7
)
)
?
(i)
(
45
x
+
14
y
−
10
)
=
0
(ii)
y
=
(
−
4
5
x
−
27
5
)
(iii)
x
=
2
(iv)
x
=
(
4
5
y
+
38
5
)
(v)
(
−
8
x
−
10
y
+
10
)
=
0
Question
10
10.
Which of the following equations satisfy the given points
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
10
7
)
,
(
0
,
4
7
)
,
(
1
,
(
−
2
7
)
)
,
(
2
,
(
−
8
7
)
)
?
(i)
y
=
(
−
1
)
(ii)
(
6
x
+
7
y
−
4
)
=
0
(iii)
x
=
(
9
8
y
−
55
8
)
(iv)
(
−
9
x
−
8
y
−
20
)
=
0
(v)
x
=
(
−
8
)
Question
11
11.
Which of the following equations satisfy the given points
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
6
)
,
(
0
,
6
)
,
(
1
,
6
)
,
(
2
,
6
)
?
(i)
(
−
14
x
−
8
y
+
28
)
=
0
(ii)
y
=
6
(iii)
x
=
5
(iv)
x
=
(
7
4
y
−
11
2
)
(v)
(
35
x
+
12
y
−
10
)
=
0
Question
12
12.
Which of the following equations satisfy the given points
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
3
,
1
)
,
(
3
,
2
)
?
(i)
y
=
(
−
6
)
(ii)
x
=
3
(iii)
(
−
7
x
−
10
y
−
5
)
=
0
(iv)
(
3
x
+
6
y
−
2
)
=
0
(v)
y
=
(
−
7
10
x
−
39
10
)
Question
13
13.
Which of the displayed lines represent the equation
(
5
x
−
3
y
+
12
)
=
0
?
(i)
line with point
T
(ii)
line with point
X
(iii)
line with point
V
(iv)
line with point
W
(v)
line with point
U
Question
14
14.
Which of the displayed lines represent the equation
y
=
(
−
1
)
(i)
line with point
U
(ii)
line with point
W
(iii)
line with point
T
(iv)
line with point
S
(v)
line with point
V
Question
15
15.
Which of the displayed lines represent the equation
x
=
(
−
4
)
(i)
line with point
R
(ii)
line with point
Q
(iii)
line with point
T
(iv)
line with point
P
(v)
line with point
S
Question
16
16.
Which of the displayed lines represent the equation
y
=
(
x
−
3
)
(i)
line with point
R
(ii)
line with point
P
(iii)
line with point
O
(iv)
line with point
S
(v)
line with point
Q
Question
17
17.
Which of the displayed lines represent the equation
y
=
(
−
1
5
x
)
(i)
line with point
V
(ii)
line with point
T
(iii)
line with point
U
(iv)
line with point
S
(v)
line with point
W
Assignment Key
1) (iv)
2) (iv)
3) (i)
4) (iv)
5) (iv)
6) (ii)
7) (iii)
8) (ii)
9) (ii)
10) (ii)
11) (ii)
12) (ii)
13) (i)
14) (iv)
15) (iv)
16) (iii)
17) (iv)
