UNCORRECTEDSAMPLEPAGES

The first coordinate is the x-coordinate. The second coordinate is the y-coordinate. To plot point A, go along the horizontal axis to the number 2, then move vertically up 5 units. Place a dot at this point, which is the intersection of the line passing through the point 2 on the horizontal axis and the line passing through the point 5 on the vertical axis.

Now you try

Plot these points on a number plane:

Example 24 Drawing graphs

For the given rule output = input + 1: a Copy and complete the given table of values. b Plot each pair of values in the table to form a graph. c Do these points lie in a straight line?

Solution Explanation

a c Yes

Now you try

For the given rule output = input + 4: a Copy and complete the given table of values.

Use the given rule to find each output value for each input value. The rule is: output = input + 1, so add 1 to each input value.

Plot each (x, y) pair. The pairs are (0, 1), (1,

(2, 3) and (3, 4) b Plot each pair of values in the table to form a graph. c Do these points lie in a straight line?

The points lie in a straight line (you could check by using a ruler to see that it is possible to draw a straight line through all the points.)

Exercise 2K

1 Plot these points on a number plane.

2 Plot the following points on a number plane.

3 Write down the coordinates of each of these labelled points. Your answers should be written with the point name then its coordinates, like A(1, 4)

4 For the given rule output = input + 2: b Plot each pair of values in the table to form a graph. c Do these points lie in a straight line?

Copy and complete the given table of values.

5 For the given rule output = input 1: a Copy and complete the given table of values. b Plot each pair of values in the table to form a graph. c Do these points lie in a straight line?