Answer: The maximum number of points that can lie on a graph of a linear equation in two variables is infinite.
Explanation:
This is because a linear equation in two variables, such as Ax + By = C, where A, B, and C are constants and A and B are not both zero, represents a straight line . A straight line extends infinitely in both directions and contains an infinite number of points.
So, there is no limit to the number of points that can lie on a graph of a linear equation in two variables.