Draw the graph of the equation 3x + 2y = 6. Find the coordinates of the point, where the graph cuts the y-axis.

Question

Philoid · Accepted Answer

The given equation is 3x + 2y = 6

2y = 6 - 3x

∴ y =

Now, if x = 2, then

y = = 0

And, if x = 4, then

y = = -3

Thus, we have the following table:

x	2	4
y	0	-3

Plot points (2, 0) and (4,-3) on a graph paper and join them to get the required graph.

We find that the line 3x + 2y = 6 cuts the y-axis at a point P which is 3 units above the x-axis.

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