Draw the graph of the equation, 2x + y = 6.
Find the coordinates of the point where the graph cuts the x - axis.
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).