Question:
Draw the graph of the equation 3x + 2y = 6. Find the coordinates of the point, where the graph cuts the y-axis.
Solution:
Given equation: $3 x+2 y=6$. Then,
$2 y=6-3 x \Rightarrow y=\frac{6-3 x}{2}$
When $x=2, y=\frac{6-6}{2}=0$
When $x=4, y=\frac{6-12}{2}=-3$
Thus, we get the following table:
Plot the points $(2,0),(4,-3)$ on the graph paper. Join the points and extend the graph in both the directions.
Clearly, the graph cuts the $y$-axis at $\mathrm{P}(0,3)$.