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

RELATED QUESTIONS
Decide which of the following statements is true and which is false. Give reasons for your answer.
The coordinates of the origin are (0, 0).
The point (3, 4) is at a distance of ______.
A point which lies on both the axis is ______.
We need ______ coordinates for representing a point on the graph sheet.
The process of fixing a point with the help of the coordinates is known as ______ of the point.
All points with y-coordinate as zero lie on the ______.
The y-coordinate of the point (2, 4) is ______.
Explain the situations represented by the following distance-time graph.

The table given below shows the temperatures recorded on a day at different times.

Observe the table and answer the following questions.
- What is the temperature at 8 am?
- At what time is the temperature 3°C?
- During which hour did the temperature fall?
- What is the change in temperature between 7 am and 10 am?
- During which hour was there a constant temperature?
The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A.
- At what time did cyclist II rest? How long did the cyclist rest?
- Was cyclist II cycling faster or slower after the rest?
- At what time did the two cyclists meet?
- How far had cyclist II travelled when he met cyclist I?
- When cyclist II reached town A, how far was cyclist I from town B?

