Answer
x-intercept: $(6, 0)$
y-intercept: $(0, -20)$
Work Step by Step
To find the x-intercept, set $y=0$ then solve for $x$:
$10x-3y=60
\\10x-3(0)=60
\\10x=60
\\\frac{10x}{10}=\frac{60}{10}
\\x=6$
Thus, the x-intercept of the graph of the given equation is $(6, 0)$.
To find the y-intercept, set $x=0$ then solve for $y$:
$10x-3y=60
\\10(0)-3y=60
\\-3y=60
\\\frac{-3y}{-3}=\frac{60}{-3}
\\y=-20$
Thus, the y-intercept of the graph of the given equation is $(0, -20)$.
