1
Question
Draw the graph of y = 3x + 3.
Find the coordinates of the point of interserction of the graph with the axes. (4 marks)
Find the coordinates of the point of interserction of the graph with the axes. (4 marks)
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Solution
The given equation y = 3x + 3, means that for any value of x ,
the value of y is three more than thrice of x.
x
-1
0
1
2
y
3(-1) + 3 = 0
3(0) + 3 = 3
3(1) + 3 = 6
3(2) + 3 = 9
Plotting the point (−1, 0) (0, 3) (1, 6) (2, 9), we get,
(3 marks)
Therefore, the coordinates of the point of interserction with the axes are (-1, 0) and (0, 3). (1 mark)
the value of y is three more than thrice of x.
| x | -1 | 0 | 1 | 2 |
| y | 3(-1) + 3 = 0 | 3(0) + 3 = 3 | 3(1) + 3 = 6 | 3(2) + 3 = 9 |
Plotting the point (−1, 0) (0, 3) (1, 6) (2, 9), we get,
(3 marks)Therefore, the coordinates of the point of interserction with the axes are (-1, 0) and (0, 3). (1 mark)
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