1. The problem is to create a table of values and graph the linear function $y = -x + 4$. 2. The formula for a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. Here, the slope $m = -1$ and the y-intercept $b = 4$. 4. To create a table of values, choose values for $x$ and calculate corresponding $y$ values: | $x$ | $y = -x + 4$ | |-----|--------------| | -1 | $-(-1) + 4 = 1 + 4 = 5$ | | 0 | $-(0) + 4 = 4$ | | 1 | $-(1) + 4 = 3$ | | 2 | $-(2) + 4 = 2$ | | 3 | $-(3) + 4 = 1$ | 5. Plot these points $(-1,5)$, $(0,4)$, $(1,3)$, $(2,2)$, and $(3,1)$ on the Cartesian plane and draw a straight line through them. This line slopes downward from left to right because the slope is negative. Final answer: The table of values is as above and the graph is a line with slope $-1$ and y-intercept $4$.