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
    • (
      7
      x
      +
      y
      20
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13
      )
    • ,
    • (
      0
      ,
      20
      )
    • ,
    • (
      1
      ,
      27
      )
    • ,
    • (
      4
      ,
      36
      )
  • (ii)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13
      )
    • ,
    • (
      0
      ,
      20
      )
    • ,
    • (
      0
      ,
      28
      )
    • ,
    • (
      2
      ,
      34
      )
  • (iii)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13
      )
    • ,
    • (
      0
      ,
      20
      )
    • ,
    • (
      1
      ,
      27
      )
    • ,
    • (
      2
      ,
      34
      )
  • (iv)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13
      )
    • ,
    • (
      1
      ,
      19
      )
    • ,
    • (
      1
      ,
      27
      )
    • ,
    • (
      2
      ,
      34
      )
  • (v)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13
      )
    • ,
    • (
      (
      2
      )
      ,
      18
      )
    • ,
    • (
      1
      ,
      27
      )
    • ,
    • (
      2
      ,
      34
      )
Question 2
2.
    • Find the set of points satisfying the equation
    • y
      =
      (
      14
      x
      +
      65
      )
  • (i)
    • (
      (
      2
      )
      ,
      93
      )
    • ,
    • (
      (
      1
      )
      ,
      79
      )
    • ,
    • (
      0
      ,
      65
      )
    • ,
    • (
      0
      ,
      52
      )
    • ,
    • (
      2
      ,
      37
      )
  • (ii)
    • (
      (
      2
      )
      ,
      93
      )
    • ,
    • (
      (
      1
      )
      ,
      79
      )
    • ,
    • (
      (
      2
      )
      ,
      63
      )
    • ,
    • (
      1
      ,
      51
      )
    • ,
    • (
      2
      ,
      37
      )
  • (iii)
    • (
      (
      2
      )
      ,
      93
      )
    • ,
    • (
      (
      1
      )
      ,
      79
      )
    • ,
    • (
      1
      ,
      64
      )
    • ,
    • (
      1
      ,
      51
      )
    • ,
    • (
      2
      ,
      37
      )
  • (iv)
    • (
      (
      2
      )
      ,
      93
      )
    • ,
    • (
      (
      1
      )
      ,
      79
      )
    • ,
    • (
      0
      ,
      65
      )
    • ,
    • (
      1
      ,
      51
      )
    • ,
    • (
      2
      ,
      37
      )
  • (v)
    • (
      (
      2
      )
      ,
      93
      )
    • ,
    • (
      (
      1
      )
      ,
      79
      )
    • ,
    • (
      0
      ,
      65
      )
    • ,
    • (
      1
      ,
      51
      )
    • ,
    • (
      4
      ,
      39
      )
Question 3
3.
    • Find the set of points satisfying the equation
    • x
      =
      (
      5

      9
      y
      +
      14

      9
      )
  • (i)
    • (
      (
      2
      )
      ,
      32

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      23

      5
      )
    • ,
    • (
      1
      ,
      9

      5
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      2
      ,
      (
      4

      5
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      32

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      23

      5
      )
    • ,
    • (
      0
      ,
      14

      5
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      2
      ,
      (
      4

      5
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      32

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      23

      5
      )
    • ,
    • (
      0
      ,
      14

      5
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      2
      ,
      (
      4

      5
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      32

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      23

      5
      )
    • ,
    • (
      0
      ,
      14

      5
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      4
      ,
      6

      5
      )
  • (v)
    • (
      (
      2
      )
      ,
      32

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      23

      5
      )
    • ,
    • (
      (
      2
      )
      ,
      4

      5
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      2
      ,
      (
      4

      5
      )
      )
Question 4
4.
    • Find the set of points satisfying the equation
    • y
      =
      (
      11

      4
      x
      )
  • (i)
    • (
      (
      2
      )
      ,
      11

      2
      )
    • ,
    • (
      (
      1
      )
      ,
      11

      4
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      (
      7

      4
      )
      )
    • ,
    • (
      2
      ,
      (
      11

      2
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      11

      2
      )
    • ,
    • (
      (
      1
      )
      ,
      11

      4
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      11

      4
      )
      )
    • ,
    • (
      2
      ,
      (
      11

      2
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      11

      2
      )
    • ,
    • (
      (
      1
      )
      ,
      11

      4
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      11

      4
      )
      )
    • ,
    • (
      2
      ,
      (
      11

      2
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      11

      2
      )
    • ,
    • (
      (
      1
      )
      ,
      11

      4
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      11

      4
      )
      )
    • ,
    • (
      2
      ,
      (
      11

      2
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      11

      2
      )
    • ,
    • (
      (
      1
      )
      ,
      11

      4
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      11

      4
      )
      )
    • ,
    • (
      4
      ,
      (
      7

      2
      )
      )
Question 5
5.
    • Find the set of points satisfying the equation
    • (
      7
      x
      +
      6
      y
      3
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      17

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      3
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      3

      2
      )
      )
    • ,
    • (
      1
      ,
      (
      2

      3
      )
      )
    • ,
    • (
      2
      ,
      (
      11

      6
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      17

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      3
      )
    • ,
    • (
      0
      ,
      1

      2
      )
    • ,
    • (
      0
      ,
      1

      3
      )
    • ,
    • (
      2
      ,
      (
      11

      6
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      17

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      3
      )
    • ,
    • (
      0
      ,
      1

      2
      )
    • ,
    • (
      1
      ,
      (
      2

      3
      )
      )
    • ,
    • (
      2
      ,
      (
      11

      6
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      17

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      3
      )
    • ,
    • (
      0
      ,
      1

      2
      )
    • ,
    • (
      1
      ,
      (
      2

      3
      )
      )
    • ,
    • (
      4
      ,
      1

      6
      )
  • (v)
    • (
      (
      2
      )
      ,
      17

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      3
      )
    • ,
    • (
      1
      ,
      (
      1

      2
      )
      )
    • ,
    • (
      1
      ,
      (
      2

      3
      )
      )
    • ,
    • (
      2
      ,
      (
      11

      6
      )
      )
Question 6
6.
    • Find the set of points satisfying the equation
    • y
      =
      (
      4
      )
  • (i)
    • (
      (
      2
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      4
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      4
      )
      )
    • ,
    • (
      4
      ,
      (
      2
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      1
      ,
      (
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      4
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      4
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      4
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      4
      )
      )
Question 7
7.
    • Find the set of points satisfying the equation
    • x
      =
      1
  • (i)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      3
      ,
      4
      )
  • (ii)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      1
      ,
      2
      )
  • (iii)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      1
      ,
      2
      )
  • (iv)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      1
      ,
      2
      )
  • (v)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      1
      ,
      2
      )
Question 8
8.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        5

        3
        )
      • ,
      • (
        (
        1
        )
        ,
        1

        3
        )
      • ,
      • (
        0
        ,
        (
        1
        )
        )
      • ,
      • (
        1
        ,
        (
        7

        3
        )
        )
      • ,
      • (
        2
        ,
        (
        11

        3
        )
        )
    • ?
  • (i)
    (
    12
    x
    9
    y
    9
    )
    =
    0
  • (ii)
    (
    4
    x
    +
    7
    y
    2
    )
    =
    0
  • (iii)
    x
    =
    0
  • (iv)
    y
    =
    (
    4

    3
    x
    2
    )
  • (v)
    y
    =
    (
    2
    )
Question 9
9.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        8
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        89

        10
        )
        )
      • ,
      • (
        0
        ,
        (
        49

        5
        )
        )
      • ,
      • (
        1
        ,
        (
        107

        10
        )
        )
      • ,
      • (
        2
        ,
        (
        58

        5
        )
        )
    • ?
  • (i)
    (
    7
    x
    +
    10
    y
    5
    )
    =
    0
  • (ii)
    (
    9
    x
    10
    y
    34
    )
    =
    0
  • (iii)
    y
    =
    (
    9

    10
    x
    49

    5
    )
  • (iv)
    y
    =
    (
    8
    )
  • (v)
    x
    =
    (
    2
    )
Question 10
10.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        10

        9
        )
      • ,
      • (
        (
        1
        )
        ,
        2

        3
        )
      • ,
      • (
        0
        ,
        2

        9
        )
      • ,
      • (
        1
        ,
        (
        2

        9
        )
        )
      • ,
      • (
        2
        ,
        (
        2

        3
        )
        )
    • ?
  • (i)
    y
    =
    (
    1
    )
  • (ii)
    x
    =
    (
    11

    5
    y
    +
    6

    5
    )
  • (iii)
    y
    =
    (
    11

    5
    x
    16

    5
    )
  • (iv)
    (
    11
    x
    5
    y
    4
    )
    =
    0
  • (v)
    (
    4
    x
    +
    9
    y
    2
    )
    =
    0
Question 11
11.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        7
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        7
        )
        )
      • ,
      • (
        0
        ,
        (
        7
        )
        )
      • ,
      • (
        1
        ,
        (
        7
        )
        )
      • ,
      • (
        2
        ,
        (
        7
        )
        )
    • ?
  • (i)
    x
    =
    (
    5

    2
    y
    +
    21

    2
    )
  • (ii)
    (
    9
    x
    +
    8
    y
    5
    )
    =
    0
  • (iii)
    y
    =
    (
    7
    )
  • (iv)
    x
    =
    (
    7
    )
  • (v)
    (
    15
    x
    6
    y
    +
    21
    )
    =
    0
Question 12
12.
    • Which of the following equations satisfy the given points
      • (
        1
        ,
        (
        2
        )
        )
      • ,
      • (
        1
        ,
        (
        1
        )
        )
      • ,
      • (
        1
        ,
        0
        )
      • ,
      • (
        1
        ,
        1
        )
      • ,
      • (
        1
        ,
        2
        )
    • ?
  • (i)
    x
    =
    1
  • (ii)
    (
    10
    x
    +
    7
    y
    2
    )
    =
    0
  • (iii)
    y
    =
    (
    4
    )
  • (iv)
    y
    =
    (
    11

    9
    x
    25

    9
    )
  • (v)
    x
    =
    (
    11

    9
    y
    +
    53

    9
    )
Question 13
13.
    • Which of the displayed lines represent the equation
    • (
      4
      x
      3
      y
      14
      )
      =
      0
    • ?
  • (i)
      • line with point
      • V
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • W
  • (iv)
      • line with point
      • X
  • (v)
      • line with point
      • U
Question 14
14.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      5
      )
  • (i)
      • line with point
      • T
  • (ii)
      • line with point
      • Q
  • (iii)
      • line with point
      • S
  • (iv)
      • line with point
      • R
  • (v)
      • line with point
      • P
Question 15
15.
    • Which of the displayed lines represent the equation
    • x
      =
      5
  • (i)
      • line with point
      • T
  • (ii)
      • line with point
      • U
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • Q
Question 16
16.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      4

      5
      x
      4

      5
      )
  • (i)
      • line with point
      • R
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • U
  • (iv)
      • line with point
      • V
  • (v)
      • line with point
      • S
Question 17
17.
    • Which of the displayed lines represent the equation
    • y
      =
      6

      7
      x
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • V
  • (v)
      • line with point
      • S
    Assignment Key

  •  1) (iii)
  •  2) (iv)
  •  3) (iii)
  •  4) (ii)
  •  5) (iii)
  •  6) (i)
  •  7) (ii)
  •  8) (i)
  •  9) (iii)
  •  10) (v)
  •  11) (iii)
  •  12) (i)
  •  13) (ii)
  •  14) (v)
  •  15) (v)
  •  16) (i)
  •  17) (iii)