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

Solution:



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,