Question: User: y=−3x−3.
1. **State the problem:** We are given the linear equation $$y = -3x - 3$$ and want to understand its properties.
2. **Formula and rules:** This is a linear equation in slope-intercept form $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept.
3. **Identify slope and intercept:** Here, the slope $$m = -3$$ and the y-intercept $$b = -3$$.
4. **Interpretation:** The slope $$-3$$ means for every increase of 1 in $$x$$, $$y$$ decreases by 3.
5. **Find x-intercept:** Set $$y=0$$ and solve for $$x$$:
$$0 = -3x - 3$$
$$3x = -3$$
$$x = \frac{-3}{3}$$
$$x = -1$$
6. **Summary:** The line crosses the y-axis at $$-3$$ and the x-axis at $$-1$$, with a slope of $$-3$$ indicating a downward slope.