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

Question

Philoid · Accepted Answer

The given equation is 2x + y = 6

∴ y = 6 - 2x

Now, if x = 1, then y = 6 - 2 × 1 = 4

And, if x = 2, then y = 6 - 2 × 2 = 2

Thus, we have the following table:

x	1	2
y	4	2

Plot points (1,4) and (2,2) on a graph paper and join them to get the required graph.

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

So, the co-ordinates of P are (3,0).