Question

Draw the graph of the equation, 3x + 2y = 6.

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

Answer 1

The given equation is 3x + 2y = 6.

On solving, $y=\frac{6-3x}{2}$

Thus, when x = 0, y = 3 and when x = -2, y = 6

Thus, the table looks as,

x	0	-2
y	3	6

Plotting the points, the graph is obtained as follows:

We find that the given line cuts the y-axis at a point Z which is 3 units above the x-axis.

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