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Draw the graph of the linear equation 3x + 4y = 6. At what points, does the graph cut the x-axis and the y-axis?

Answers (1)

The given equation is 3x + 4y = 6 …(i)

For x =0,

0 + 4y = 6

y = \frac{3}{2}=1.5

For y = 0,

3x = 6

x = 2

For x = -2,

3 (-2) + 4y = 6

- 6 - 6 = -4y

y = 3

Plotting the points, we get:

Hence the graph cut the x-axis at (2, 0) and the graph cut the y-axis at (0, 1.5)

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