Answer
$$x_{intercept} = (5, 0)$$ $$y_{intercept} = (0, -3)$$
Work Step by Step
To find the intercepts, one substitutes the opposite variable for zero and solves the equation. To find the $x_{intercept}$: $$3x - 5(0) = 15$$ $$3x = 15$$ $$x = 5$$ To find the $y_{intercept}$: $$3(0) - 5y = 15$$ $$-5y = 15$$ $$y = -3$$ And to draw the graph, we simply plot the points and draw the line that connects them.
