The problem asks us to draw the graph of the equation $y = -x + 6$ on the given grid.

1. Problem Description

The problem asks us to draw the graph of the equation $y = -x + 6$ on the given grid.

2. Solution Steps

The equation is in the slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

In this case, $m = -1$ and $b = 6$. This means the y-intercept is at the point $(0, 6)$. The slope is $-1$, which means for every increase of 1 in $x$, $y$ decreases by

1.

We can find a few points on the line:

- When $x = 0$, $y = -0 + 6 = 6$. Point: $(0, 6)$

- When $x = 1$, $y = -1 + 6 = 5$. Point: $(1, 5)$

- When $x = 2$, $y = -2 + 6 = 4$. Point: $(2, 4)$

- When $x = 6$, $y = -6 + 6 = 0$. Point: $(6, 0)$

We can plot these points and draw a straight line through them. The line should pass through $(0, 6)$, $(1, 5)$, $(2, 4)$, and $(6, 0)$.

3. Final Answer

The graph of $y = -x + 6$ is a straight line passing through the points $(0, 6)$ and $(6, 0)$. (Note: It is not possible to draw the graph on this text-based platform.)