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Which of the following graphs correctly interprets the equation: $2 x + y = 0$ ?

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answer is A.

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Detailed Solution

The given equation is

2 x + y = 0

.
It can be written as,

⇒ 2 x + y = 0 ⇒ y = − 2 x

Look at the following graphs, take the values of x and find the value of y theoretically. If it matches with the point as observed from the graph, then it would be the right answer.
Look at graph 1:
When x = 1, y becomes:

⇒ y = − 2 x ⇒ y = − 2 (1) ⇒ y = − 2

When x = -1, y becomes:

⇒ y = − 2 x ⇒ y = − 2 (− 1) ⇒ y = 2

The value of x and y are:

x	1	−1
y	−2	2

The graph is drawn with the given points,
Question Image

The value matches with the points of the graph.
Therefore, the graph 1 is the correct interpretation of

2 x + y = 0

.
Hence, the correct option is 1.

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