Answer
$$x_{intercept} = (-\frac{16}{3}, 0)$$ $$y_{intercept} = (0, 8)$$
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: $$-3x + 2(0) = 16$$ $$-3x = 16$$ $$x = -\frac{16}{3}$$ To find the $y_{intercept}$: $$-3(0) + 2y = 16$$ $$2y = 16$$ $$y = 8$$ Finally, to draw the graph of the equation, one plots the intercepts and draws the line connecting them.
