From the choices given below choose the equation whose graph is given in
(i) x+2y=5
(ii) x-2y=5
(iii) y+2x=5

Explanation

Solution
Let’s verify each given cases, whether they are satisfying the solution given on graph or not
(i) `y=x`
Given point `(1,-1)
x=1` and `y=-1 ⟹ x≠y`
Hence, this equation is Incorrect for this graph.Given point `(1,-1), (1,-1)` and `(0,0)
x=1` and `y=-1 ⟹ x+y=0
x=-1` and `y=1 ⟹ x+y=0
x=0` and `y=0 ⟹ x+y=0`
Hence, this equation is Correct for this graph. Since, (ii) and (iii) are not satisfied using points satisfying the equation, therefore (ii) and (iii) are not correct for given graph.