Question

Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?

Answer 1

Take a point O on the graph paper and draw horizontal and vertical lines OX and OY respectively.
Then, let on the x-axis and y axis 1 cm represents 1 unit.
In order to plot point (5, 0), we start from the origin O and move 5 cm along OX. The point we arrive at is point (5,0).
To plot point (5, 1), we move 5 cm along OX and 1 cm along OY. The point we arrive at is point (5,1).
To plot point (5,8), we move 5 cm along OX and 8 cm along OY. The point we arrive at is point (5,8).
From the graph below, it can be seen that the points lie on a line parallel to y-axis. This is because they have the same x-coordinate.