Plot the points (5,0), (5,1), (5,8). Do thy lie on a line? What is your observation?
In order to plot point (5, 0), we start from the origin and move 5 cm along x- axis. The point we arrive at is point (5,0).
To plot point (5, 1), we move 5 cm along x- axis and 1 cm along y- axis. The point we arrive at is point (5,1).
To plot point (5,8), we move 5 cm along x- axis and 8 cm along y- axis. The point we arrive at is point (5,8).
After plotting points, we observe that all points are having same ordinate ( ie. same x-coordinate.)
Hence, all points lie on the same line.
Decide which of the following statements is true and which is false. Give reasons for your answer.
(i) A point whose x-coordinate is zero, will lie on the y-axis.
(ii) A point whose y-coordinate is zero, will lie on x-axis.
(iii) The coordinates of the origin are (0,0).
(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.