Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 7y = 21$.
To find the y-intercept, we plug 0 into the given equation for x.
3x-7y=21
3(0)-7y=21
-7y=21
y=-3
The y intercept is (0, -3).
To find the x-intercept, we plug 0 into the given equation for y.
3x-7y=21
3x-7(0)=21
3x=21
x=7
The x-intercept is (7, 0).
Plugging these values into the distance formula, the answer is \(\sqrt{58}\).