Question

Draw the graph of the equation $2x+3y+6=0$

Answer 1

$2x+3y+6=0$

$\Rightarrow y=-\left(\frac{6+2x}{3}\right)$

When $x=-3,y=-\frac{6+2\times -3}{3}=-\frac{6-6}{3}=0$

When $x=0,y=-\frac{6+2\times 0}{3}=-\frac{6}{3}=-2$

When $x=3,y=-\frac{6+2\times 3}{3}=-\frac{6+6}{3}=-4$

$x$	$-3$	$0$	$3$
$y$	$0$	$-2$	$-4$

Plot the points $A(-3,0),B(0,-2),C(3,-4)$ on the graph paper. Join these points by a straight line $AC$