Plot the points (2,4) and (4,2) on a graph paper, then draw a line segment joining these two points.

Extend the line segment on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?

The two points A(2,4) and B(4,2) is drawn on the graph paper as shown below:

Let AB is a line segment which is extended from both the ends to meet the axes.

The co-ordinates of the point on y-axis , where the line segment meet will be of the form (0,y) and the co-ordinates of the point on x-axis , where the line segment meet will be of the form (x,0).

Here , in the above figure , we can see that The co-ordinates of the point on y-axis , where the line segment meet is (0,6) and the co-ordinates of the point on x-axis , where the line segment meet is (6,0).