Question

The equation $2x-y=0$ represents the line given in the graph shown below.

• A. True
• B. False

Answer 1

The correct option is B

False

In the given graph, the point (2, 1) lies on the line.

$\Rightarrow$ (2, 1) is a solution of the equation that represents this line.

On substituting x = 2 and y = 1 in the given equation $2x-y=0$, we get

LHS $\to$ $2x-y=0$ = $2\left(2\right)-1$ = 3
RHS $\to$ 0

Since LHS is not equal to RHS, (2, 1) is not a solution of the given equation.

Hence, equation $2x-y=0$ does not represent the line given in the graph.