Question

Draw the graph of the equation 3x + 2y = 12. At what points does the graph cut the x-axis and the y-axis?

Answer 1

Given equation: $3x+2y=12$
or, $y=\frac{12-3x}{2}$

When $x=0$, then $y=\frac{12}{2}=6$.

When $x=2$, then $y=\frac{12-6}{2}=\frac{6}{2}=3$.

When $\text{x}=4$, then $y=\frac{12-12}{2}=0$.
Thus, we have the following table:

$\text{x}$	0	2	4
$y$	6	3	0

Plot the points $A(0,6),B(4,0)$ and $C(2,3)$ on the graph paper.
Join the points and extend them in both the direction.
We see the graph cuts the $\text{x}$-axis at $(4,0)$ and the $y$-axis at $(0,6)$.