1. We are given the equation $5x + 3y = -15$ and asked to find its intercepts. 2. To find the \textbf{x-intercept}, set $y=0$ and solve for $x$: $$5x + 3(0) = -15 \implies 5x = -15 \implies x = \frac{-15}{5} = -3$$ So the x-intercept is $(-3, 0)$. 3. To find the \textbf{y-intercept}, set $x=0$ and solve for $y$: $$5(0) + 3y = -15 \implies 3y = -15 \implies y = \frac{-15}{3} = -5$$ So the y-intercept is $(0, -5)$. Final answer: The intercepts are $(-3, 0)$ and $(0, -5)$.