Let's write 4 collinear points on a graph sheet and write the coordinates of the points. Similarly, plotting the points on the graph sheet and joining them we get some pictures. What will we call that?
Let’s take points points (0,2), (1,3), (2,4) and (5,5)
For (0,2) move 2 unit in the y-direction, this point will be on the y-axis.
For (1,3) move 1 unit in the x-direction and 3 unit in the y-direction.
For (2,4) move 2 unit in the x-direction and 4 unit in the y-direction.
For (5, 7) move 5 units in the x-direction and 7 units in the y-direction.
By putting three more collinear points on the graph will be as shown in the below figure
So the points A(0,2), B(1,3), C(2,4) and D(4, 6) are on the same line, so they are collinear points.
Plotting the points on the graph sheet from the coordinates of the points and joining the points, we will get a picture which is called as graph.
If we get straight line after joining points, then such type of graph is known as Linear graph.