#### Answer

$x$-intercept: $3$
$y$-intercept: $-21$

#### Work Step by Step

To find the $x$-intercept of an equation in standard form, we plug in $0$ for $y$, and solve for $x$.
$7x-0=21$
We apply the identity property of addition: $7x=21$
We divide by $7$ on both sides of the equation: $x=\frac{21}{7}=3$
To find the $y$-intercept of an equation in standard form, we plug in $0$ for $x$, and solve for $y$.
$7(0)-y=21$
We multiply: $0-y=21$
We apply the identity property of addition: $-y=21$
We divide by $-1$ on both sides of the equation: $y=-21$