To determine the slope of the line on this graph, we need to select two points from the graph and use the slope formula:

$\text{slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

From the image, we can identify two points where the line crosses grid intersections:

• The first point looks to be at $(0, 0)$, the origin.
• The second point appears to be $(6, -6)$.

Now we can apply the slope formula: $\text{slope} = \frac{-6 - 0}{6 - 0} = \frac{-6}{6} = -1$

So, the slope of the line is -1.

Would you like further explanation or have any questions?

Here are 5 related questions to consider:

1. How does changing the slope affect the direction of a line on a graph?
2. What does a slope of 0 mean for the line?
3. How do you find the equation of a line if you are given the slope and a point on the line?
4. Can the slope of a vertical line be defined? Why or why not?
5. How do you determine if two lines are perpendicular by comparing their slopes?

Tip: The slope of a line tells you how much the $y$-value changes for every unit increase in the $x$-value. A negative slope means the line goes downward from left to right.