Answer
$x$-intercept $=-3$
$y$-intercept: $=-2$
Work Step by Step
$2x+3y+6=0$
To find this equation's $x$-intercept, set $y$ equal to $0$ and solve for $x$:
$2x+3y+6=0$
$2x+3(0)+6=0$
$2x+6=0$
$2x=-6$
$x=-\dfrac{6}{2}$
$x=-3$
To find this equation's $y$-intercept, set $x$ equal to $0$ and solve for $y$:
$2x+3y+6=0$
$2(0)+3y+6=0$
$3y+6=0$
$3y=-6$
$y=-\dfrac{6}{3}$
$y=-2$
The intercepts of this equation are now known. The graph is shown below:
