Advertisements
Advertisements
Question
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
Advertisements
Solution

From the graph, it can be observed that the line joining the points (2, 3) and (3, 2) meets the x-axis at the point (5, 0) and the y-axis at the point (0, 5).
APPEARS IN
RELATED QUESTIONS
Plot the following points on a graph sheet. Verify if they lie on a line
A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)
For fixing a point on the graph sheet we need two coordinates.
Write the x-coordinate (abscissa) of the given point.
(7, 3)
If y-coordinate is 3 times x-coordinate, form a table for it and draw a graph.
Explain the situations represented by the following distance-time graph.

Locate the points A(1, 2), B(4, 2) and C(1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.
The table shows the data collected for Dhruv’s walking on a road.
| Time (in minutes) |
0 | 5 | 10 | 15 | 20 | 25 |
| Distance (in km) |
0 | 0.5 | 1 | 1.25 | 1.5 | 1.75 |
- Plot a line graph for the given data using a suitable scale.
- In what time periods did Dhruv make the most progress?
Observe the toothpick pattern given below:
(a) Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.
| Pattern | 1 | 2 | 3 | 4 | 5 | 6 |
| Toothpicks | 4 | 13 |
(b) Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis. Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.
(c) Use your graph to predict the number of toothpicks in patterns 7 and 8. Check your answers by actually drawing them.
(d) Would it make sense to join the points on this graph? Explain.
The points on the graph below represent the height and weight of the donkey, dog, crocodile, and ostrich shown in the drawing.

- What are the two variables represented in the graph?
- Which point represents each animals? Explain.
