Answer
x-intercept: $(6, 0)$
y-intercept $(0, -30)$
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$ to obtain:
$5x-y=30
\\5x-0=30
\\5x=30
\\\frac{5x}{5}=\frac{30}{5}
\\x=6$
Thus, the x-intercept is $(6, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$ to obtain:
$5x-y=30
\\5(0)-y=30
\\-y=30
\\-1(-y)=-1(30)
\\y=-30$
Thus, the y-intercept is $(0, -30)$.
