1. The problem is to understand and analyze the linear function $y=0.5x+3.5$. 2. This is a linear equation in slope-intercept form $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept. 3. Here, the slope $m=0.5$ means for every increase of 1 in $x$, $y$ increases by 0.5. 4. The y-intercept $b=3.5$ means the graph crosses the y-axis at the point $(0,3.5)$. 5. To find the x-intercept, set $y=0$ and solve for $x$: $$0=0.5x+3.5$$ $$0.5x=-3.5$$ $$x=\frac{-3.5}{0.5}$$ $$x=-7$$ 6. So the x-intercept is at $(-7,0)$. 7. The function is a straight line with positive slope, crossing the y-axis at 3.5 and the x-axis at -7. Final answer: The function $y=0.5x+3.5$ has slope 0.5, y-intercept 3.5, and x-intercept -7.