Q. 7

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

Answer :

Given equation, 3x + 4y = 12

⇒ 4y = 12 – 3x

When x = – 4, then,

⇒ y = 6

When x = 0, then,

⇒ y = 3

When x = 4, then,

⇒ y = 0

Thus we have the following table,

On plotting the points, ( – 4, 6), (0, 3) and (4, 0) we get the following graph,

Clearly from the graph, it cuts x axis at (4, 0) and y axis at (0, 3)

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