Answer
x-intercept: $(4, 0)$
y-intercept: $(0, -18)$
Work Step by Step
To find the x-intercept, set $y=0$ then solve for $x$:
$9x-2y=36
\\9x-2(0)=36
\\9x=36
\\\frac{9x}{9}=\frac{36}{9}
\\x=4$
Thus, the x-intercept of the graph of the given equation is $(4, 0)$.
To find the y-intercept, set $x=0$ then solve for $y$:
$9x-2y=36
\\9(0)-2y=36
\\-2y=36
\\\frac{-2y}{-2}=\frac{36}{-2}
\\y=-18$
Thus, the y-intercept of the graph of the given equation is $(0, -18)$.
