Answer
$x$-intercept: $x=3$
$y$-intercept: $y=-2$
Work Step by Step
$6x-9y-18=0$
To find this equation's $x$-intercept, set $y$ equal to $0$ and solve for $x$:
$6x-9y-18=0$
$6x-9(0)-18=0$
$6x-18=0$
$6x=18$
$x=\dfrac{18}{6}$
$x=3$
To find this equation's $y$-intercept, set $x$ equal to $0$ and solve for $y$:
$6x-9y-18=0$
$6(0)-9y-18=0$
$-9y-18=0$
$-9y=18$
$y=-\dfrac{18}{9}$
$y=-2$
The intercepts of this equation are now known. The graph is shown below:
