Draw the graph of y = 3x + 3. Find the coordinates of the point of interserction of the graph with the axes.
A
(1, 0) and (0, 3)
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B
(-1, 0) and (0, -3)
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C
(-1, 0) and (0, 3)
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D
(1, 0) and (0, -3)
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Solution
The correct option is C (-1, 0) and (0, 3) 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,Therefore, the coordinates of the point of interserction with the axes are (-1, 0) and (0, 3).