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Question
Locate the points:
(1, 1), (1, 2), (1, 3), (1, 4)
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Solution
In order to plot these points, the given steps are to be followed:
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY respectively.
Then, let on x-axis and y axis 1 cm represents 1 unit.
In order to plot point (1, 1), we start from the origin O and move 2 cm along OX and 1 cm along OY. The point we arrive at is (1, 1).
To plot point (1, 2), we move 1 cm along OX and 2 cm along OY. The point we arrive at is (1, 2).
To plot point (1, 3), we move 1 cm along OX and 3 cm along OY. The point we arrive at is (1, 3).
To plot point (1, 4), we move 1 cm along OX and 4 cm along OY. The point we arrive at is (1, 4).
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| Height (in cm) | 75 | 90 | 110 | 120 | 130 |
| Age (in years) | 2 | 4 | 6 | 8 | 10 |
Draw a line graph for the table and answer the questions that follow.
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This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.
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(i) On a copy of the map, mark the point that is 3 km East and 5 km North of Point B and label it S. Is Point S in the water or on the island? Is Point S in the same place as Point A?
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(iii) Which point is in the water, (2, 7) or (7, 2)? Mark the point which is in water on your map and label it E.
(iv) Give the coordinates of two points on the island that are exactly 2 km from Point A.
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Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.
 |
 |
 |
(a) Complete the table.
| Rows, r | 4 | 6 | 8 |
| Number of white Tiles, w | 9 | ||
| Number of Purple Tiles, p | 1 |
(b) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the horizontal axis.
(c) Which graph is linear?
