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Question

Draw the graph of the equation, 2x + y = 6.

Find the coordinates of the point where the graph cuts the x - axis.

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Solution

The given equation is 2x + y = 6.

On solving, y = 6 – 2x

Thus, when x = 1, y = 4 and when x = -1, y = 8

Thus, the table looks as:

x 1 -1
y 4 8

Plotting the points, the graph is obtained as follows:

https://lh6.googleusercontent.com/PJSjLxmNpREkKewtYMAVMcJ2oKyl5ll-KYJ9i4XdAI3r3cH3w55xj_MAU6CUxHHcg6UBau6qH7iIDCMl9aqM51QCSz9g1BYa8xRqYwGLIoPXG2_ryLOtgLRRbJRN7Ur3sTGb9t_4

We find that the line cuts the x-axis at a point P which ia at a distance of 3 units to the right of y-axis.

Therefore, the coordinates of P are (3, 0).


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