Question

The maximum number of points that lie on the graph of linear equation in two variable is

Answer 1

Answer:

Maximum number of points that lie on the graph of two variable linear equation is 2.

Explanation:

Consider a linear equation:  x+2 y=5 ; Here the variables are x and y.

On solving the equation we get four points namely, $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$

In the equation, assume $x=0$, therefore $0+2 y=5$

$2 y=5$

$y=\frac{5}{2}=2.5$

On assuming $y=0$

$x+2 \times 0=5$

$x=5$

Here we get two points (0,2.5) &(5,0) for one linear equation.  

Answer 2

Answer:

Infinite

Step-by-step explanation:

The graph of a linear equation in two variables is always a straight line.

So, every point on the graph of the line will be a solution.

So, the linear equation in two varaible can have infinitely many solutions.

The answer is not 2 . Mark me as brainliest