From the choices given below, choose the equations whose graph is given in fig
(i) y = x
(ii) x + y = 0
(iii) y = 2x
(iv) 2 + 3y = 7x
We are given co-ordinates (1, - 1) and (-1, 1) as the solution of one of the following equations.
We will substitute the value of both co-ordinates in each of the equation and find the equation which satisfies the given co-ordinates.
(i) We are given, y = x
Substituting x =I and y = - 1, we get; 1 ≠ -1
L.H.S ≠ R.H.S
Substituting x = -1 and y = 1, we get; – 1 ≠1
L.H.S ≠ R.H.S
Therefore, the given equation y = x does not represent the graph in the figure.
(ii) We are given, x + y = 0
Substituting x = 1 and y = -1, we get
⟹ 1 + (-1) = 0
⟹ 0 = 0
L.H.S = R.H.S
Substituting x = 1 and y = 1, we get (-1) + 1 = 0
0 = 0
L.H.S = R.H.S
Therefore, the given solutions satisfy this equation.
Thus, it is the equation whose graph is given.