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Question

Find the points where the graph of the equation 3x + 4y = 12 cuts the x-axis and the y-axis.

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Solution

Given equation: 3x + 4y = 12
or, y = 12 - 3x4
Now,
When x = 0, then y = 124 = 3

When x = 4, then y = 04 = 0

Thus, we have the following table:
x 0 4
y 3 0

Thus, the graph of the equation cuts the x-axis at (4, 0) and the y-axis at (0,3).

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