Question

Draw the graph of $2x+3y=12$.

Answer 1

First, we rewrite the equation $2x+3y=12$ in the form of $y=mx+c$.
$2x+3y=12$ implies $y=-\frac{2}{3}x+4$
Substituting $x=-3,0,3$ in the above equation, we find the values of $y$ as follows

$y=-\frac{2}{3}x+4$

$x$	$-3$	$0$	$3$
$-\frac{2}{3}x$	$2$	$0$	$-2$
$y=-\frac{2}{3}x+4$	$6$	$4$	$2$

Plot the points $(-3,6),(0,4)$ and $(3,2)$ and draw a line passing through these points. Now we get the required graph.