How do you graph using the intercepts for -x-7y=14?

Axis intercept values are when either $x$ or $y$ values are 0.

Explanation:

Because your equation is a linear function, the two intercepts can be calculated as follows:

Sub $x = 0$
$- x - 7 y = 14$
$- \left(0\right) - 7 y = 14$
$- 7 y = 14$
$y = - 2$
$\therefore x$-intercept is $y = - 2$

Sub $y = 0$
$- x - 7 y = 14$
$- x - 7 \left(0\right) = 14$
$- x = 14$
$\therefore y$-intercept is $x = - 14$

Having this two points, simply draw a straight line between the intercepts, extrapolate it to infinity and you will get your graph! Hope this helps!