Answer
$$x_{intercept} = (10, 0)$$ $$y_{intercept} = (0, 14)$$
Work Step by Step
To find the intercepts, one substitutes the opposite variable by zero and solves the equation. To find the $x_{intercept}$, for instance: $$-7x - 5(0) = -70$$ $$-7x = -70$$ $$x = 10$$ To find the $y_{intercept}$: $$-7(0) - 5y = -70$$ $$-5y= -70$$ $$y = 14$$ Finally, to draw the graph of the equation, one plots the intercepts and draws the line connecting them.
