Question: User: y=2x+1
1. **State the problem:** We are given the linear function $$y=2x+1$$ and want to understand its properties.
2. **Formula and explanation:** 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 $$m=2$$ and the y-intercept $$b=1$$.
4. **Interpretation:** The slope $$2$$ means for every increase of 1 in $$x$$, $$y$$ increases by 2.
5. **Graph features:** The line crosses the y-axis at $$y=1$$.
6. **Summary:** The function $$y=2x+1$$ is a straight line with slope 2 and y-intercept 1.