The Total solution for NCERT class 6-12
From the choices given below, choose the equation whose graphs aregiven in the given figures.
For the first figure
For the second figure
(i)
y = x
y = x +2
(ii)
x + y = 0
y = x − 2
(iii)
y = 2x
y = − x + 2
(iv)
2 + 3y = 7x
x + 2y = 6
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 graphsatisfy the equation x + y = 0.Therefore, x + y = 0 is the equationcorresponding to the graph as shown in the first figure.
Points on the given line are (−1, 3), (0, 2), and (2, 0). It can beobserved that the coordinates of the points of the graph satisfy the equation y =− x + 2.
Therefore, y = − x + 2 is theequation corresponding to the graph shown in the second figure.
Hence, (iii) is the correct answer.