Answer
$x$-intercept: $-5$
$y$-intercept: $-3$
Work Step by Step
$3x+5y+15=0$
To find this equation's $x$-intercept, set $y$ equal to $0$ and solve for $x$:
$3x+5y+15=0$
$3x+5(0)+15=0$
$3x+15=0$
$3x=-15$
$x=-\dfrac{15}{3}$
$x=-5$
To find this equation's $y$-intercept, set $x$ equal to $0$ and solve for $y$:
$3x+5y+15=0$
$3(0)+5y+15=0$
$5y+15=0$
$5y=-15$
$y=-\dfrac{15}{5}$
$y=-3$
The intercepts of this equation are now known. The graph is shown below:
