Answer
$x$-intercept $=-\dfrac{5}{2}$
$y$-intercept $=5$
Work Step by Step
$6x-3y+15=0$
To find this equation's $y$-intercept, set $x$ equal to $0$ and solve for $y$:
$6x-3y+15=0$
$6(0)-3y+15=0$
$-3y+15=0$
$-3y=-15$
$y=\dfrac{-15}{-3}$
$y=5$
To find this equation's $x$-intercept, set $y$ equal to $0$ and solve for $x$:
$6x-3y+15=0$
$6x-3(0)+15=0$
$6x+15=0$
$6x=-15$
$x=-\dfrac{15}{6}$
$x=-\dfrac{5}{2}$
The intercepts of this equation are now known. The graph is shown below:
