Answer
x-intercept: $(1, 0)$
y-intercept: $(0, -10)$
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$10x-y=10
\\10x-0=10
\\10x=10
\\\frac{10x}{10}=\frac{10}{10}
\\x=1$
The x-intercept is $(1, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$10x-y=10
\\10(0)-y=10
\\-y=10
\\-1(-y) = -1(10)
\\y=-10$
The y-intercept is $(0, -10)$.