Question: User: y-3.5=-2(x+1)
1. **State the problem:** We are given the equation $$y - 3.5 = -2(x + 1)$$ and asked to analyze or work with it.
2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept.
3. **Expand the right side:**
$$y - 3.5 = -2x - 2$$
4. **Add 3.5 to both sides to isolate $$y$$:**
$$y = -2x - 2 + 3.5$$
5. **Simplify the constant terms:**
$$y = -2x + 1.5$$
6. **Interpretation:**
- The slope $$m = -2$$ means the line slopes downward, decreasing 2 units in $$y$$ for every 1 unit increase in $$x$$.
- The y-intercept $$b = 1.5$$ means the line crosses the y-axis at $$y = 1.5$$.
7. **Final equation:**
$$y = -2x + 1.5$$
This is the slope-intercept form of the given line equation.