Graph Linear Affcf1

1. **State the problem:** We want to graph the function $$y=\frac{1}{2}x-1$$ with the restriction that $$x \ne 4$$. 2. **Understand the function:** This is a linear function with slope $$\frac{1}{2}$$ and y-intercept $$-1$$. 3. **Plot the line:** - Start by plotting the y-intercept at point $$(0,-1)$$. - Use the slope $$\frac{1}{2}$$ which means rise 1 unit up for every 2 units right. - Plot another point at $$(2,0)$$. - Draw a straight line through these points. 4. **Apply the restriction $$x \ne 4$$:** - At $$x=4$$, calculate $$y=\frac{1}{2}(4)-1=2-1=1$$. - Mark a hollow circle at $$(4,1)$$ to indicate the point is not included. 5. **Summary:** The graph is a straight line with slope $$\frac{1}{2}$$ and y-intercept $$-1$$, but with a hole at $$(4,1)$$ because $$x$$ cannot be 4.