Answer
$x$-intercept: $x=2$
$y$-intercept: $y=-6$
Work Step by Step
$6x-2y-12=0$
To find this equation's $x$-intercept, set $y$ equal to $0$ and solve for $x$:
$6x-2y-12=0$
$6x-2(0)-12=0$
$6x-12=0$
$6x=12$
$x=\dfrac{12}{6}$
$x=2$
To find this equation's $y$-intercept, set $x$ equal to $0$ and solve for $y$:
$6x-2y-12=0$
$6(0)-2y-12=0$
$-2y-12=0$
$-2y=12$
$y=-\dfrac{12}{2}$
$y=-6$
The intercepts of this equation are now known. The graph is shown below:
