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State true or false: The graph given below depicts the equation $x − 2 y = 6$ .

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True

False

answer is A.

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Detailed Solution

The given equation is

x − 2 y = 6

.
The graph is,
Question Image

Take the coordinates of x and y from the graph and give the values to the equation.
Then find out whether it satisfies or not.
Take

(2, − 2)

.
Consider the LHS,

L . H . S ⇒ x − 2 y ⇒ 2 − 2 (− 2) ⇒ 2 + 4 ⇒ 6

Consider the RHS,

R . H . S ⇒ 6

LHS = RHS.
Take

(0, − 3)

.
Consider the LHS,

L . H . S ⇒ x − 2 y ⇒ 0 − 2 (− 3) ⇒ 0 + 6 ⇒ 6

Consider the RHS,

R . H . S ⇒ 6

LHS = RHS.
Take

(6, 0)

.
Consider the LHS,

L . H . S ⇒ x − 2 y ⇒ 6 − 2 (0) ⇒ 6 + 0 ⇒ 6

Consider the RHS,

R . H . S ⇒ 6

LHS = RHS.
Since, all these points satisfy the equation, the given graph represents the equation

x − 2 y = 6

.
Hence, the statement is true and 1 is the correct option.

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State true or false: The graph given below depicts the equation x−2y=6 .

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State true or false: The graph given below depicts the equation $x − 2 y = 6$ .