8) \( f(x)=-x+3 \)

Did you know that linear functions like \( f(x) = -x + 3 \) represent straight lines on a graph? This specific function has a slope of -1, meaning for every one unit you move to the right along the x-axis, you move one unit down on the y-axis. The y-intercept is 3, which means the line crosses the y-axis at the point (0, 3). If you're graphing this function, a common mistake is to misinterpret the slope. Remember, a negative slope implies that the line decreases as it moves from left to right. Always plot the y-intercept first, then use the slope to find your next point, ensuring that the line tilts downwards!