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18 December, 07:45

Select all the sets of ordered pairs that the graph of the equation y - 1 = - 2 (x - 2) contains.

A. (0, - 2) and (1, 3)

B. (0, 5) and (-2, 9)

C. (-1, 7) and (2, 1)

D. (3, - 1) and (2, - 1)

E. (1, 2) and (4, 3)

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Answers (1)
  1. 18 December, 08:53
    0
    The sets of ordered pairs that the graph of the equation y - 1 = - 2 (x - 2) contains:

    (0, 5) and (-2, 9) (-1, 7) and (2, 1)

    Answer: Option B and C

    Step-by-step explanation:

    Given that the equation of line is y - 1 = - 2 (x - 2). Now after solving the above equation, we can write the above equation as

    y = - 2 x + 5

    Substitute the coordinates of each set of given ordered pairs into the above equation to find out which belong to the graph of that given equation

    A. (0, - 2) and (1, 3)

    -2 = - 2 (0) + 5 which gives - 2 = 5

    3 = - 2 (1) + 5 which gives 3=3 and denotes not contain the set of ordered pairs

    B. (0, 5) and (-2, 9)

    5 = - 2 (0) + 5 which gives 5=5

    9 = - 2 (-2) + 5 which gives 9=9 and denotes the set of ordered pairs

    C. (-1, 7) and (2, 1)

    7 = - 2 (-1) + 5 which gives 7=7

    1 = - 2 (2) + 5 which gives 1=1 and denotes the set of ordered pairs

    D. (3, - 1) and (2, - 1)

    -1 = - 2 (3) + 5 which gives - 1 = - 1

    -1 = - 2 (2) + 5 which gives - 1 = 1 and denotes not contain the set of ordered pairs

    E. (1, 2) and (4, 3)

    2 = - 2 (1) + 5 which gives 2 = 3

    3 = - 2 (4) + 5 which gives 3 = - 3 and denotes not contain the set of ordered pairs

    Now, the above equation is satisfied by the given options B and C as on putting the value of x and y one by one then we find out that those are satisfying the given expression.
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