Question

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

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

Answer 1

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:

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).