Write whether True or False and justify your answer:The graph given be

1.	Write whether True or False and justify your answer:The graph given below represents the linear equation x + y = 0.
Answer» True. Justification: We have the equation, x + y = 0. x + y = 0 x = – y from the graph, we get the points ( – 3, 3) and ( – 1, 1), Considering the point ( – 3, 3) x = – 3 and y = 3 Hence, substituting ( – 3, 3) in equation, We get, – 3 = 3 which satisfies the equation x = – y Considering the point ( – 1, 1) x = – 1 and y = 1 Hence, substituting ( – 1, 1) in equation, We get, – 1 = 1 which satisfies the equation x = – y Therefore, the given solution: ( – 3, 3) and ( – 1, 1) satisfies the given equation x = – y. Hence, the given graph represents the linear equation x + y = 0.

Write whether True or False and justify your answer:The graph given below represents the linear equation x + y = 0.

Answer»

True.

Justification:

We have the equation, x + y = 0.

x + y = 0

x = – y

from the graph, we get the points ( – 3, 3) and ( – 1, 1),

Considering the point ( – 3, 3)

x = – 3 and y = 3

Hence, substituting ( – 3, 3) in equation,

We get,

– 3 = 3 which satisfies the equation x = – y

Considering the point ( – 1, 1)

x = – 1 and y = 1

Hence, substituting ( – 1, 1) in equation,

We get,

– 1 = 1 which satisfies the equation x = – y

Therefore, the given solution: ( – 3, 3) and ( – 1, 1) satisfies the given equation x = – y.

Hence, the given graph represents the linear equation x + y = 0.