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in Mathematics by (15.0k points)

From the choices given below, choose the equation whose graphs are given in the given figures.

For the first figure      For thesecond figure

(i) y = x                          (i) y = x +2

(ii) x + y = 0                   (ii) y = x − 2

(iii) y = 2x                      (iii) y = − x + 2

(iv) 2 + 3y = 7x              (iv) x + 2y = 6

1 Answer

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Best answer

Points on the given line are (−1, 1), (0, 0), and (1, −1).

It can be observed that the coordinates of the points of the graph satisfy the

equation x + y = 0. Therefore, x + y = 0 is the equation corresponding to the graph

as shown in the first figure.

Hence, (ii) is the correct answer.

Points on the given line are (−1, 3), (0, 2), and (2, 0). It can be observed that the

coordinates of the points of the graph satisfy the equation y = − x + 2.

Therefore, y = − x + 2 is the equation corresponding to the graph shown in the

second figure.

Hence, (iii) is the correct answer.

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