Answer
x-intercept: $(-4, 0)$
y-intercept: $(0, 6)$
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$2y-3x=12
\\2(0)-3x=12
\\-3x=12
\\\frac{-3x}{-3}=\frac{12}{-3}
\\x=-4$
Thus, the x-intercept is $(-4, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$2y-3x=12
\\2y-3(0)=12
\\2y=12
\\\frac{2y}{2}=\frac{12}{2}
\\y=6$
Thus, the y-intercept is $(0, 6)$.
