For this graph, the slope $m$ of the line can be calculated using the formula:

$m = \frac{\Delta y}{\Delta x}$

Step 1: Identify two points on the line

From the graph:

• Point 1: $(0, 8)$ (where the line intersects the $y$-axis)
• Point 2: $(8, 0)$ (where the line intersects the $x$-axis)

Step 2: Calculate the slope

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 8}{8 - 0} = \frac{-8}{8} = -1$

Final Answer:

The slope of the line is $-1$.

Would you like a deeper explanation or help with related topics?

Questions to Explore:

1. How do we find the equation of a straight line from its graph?
2. What does a negative slope indicate about a line's direction?
3. How would the graph look if the slope was $+1$ instead of $-1$?
4. Can you find the $y$-intercept from this graph? How is it related to the equation?
5. What happens to the slope if the line becomes steeper?

Tip:

The slope is a measure of steepness. A negative slope means the line is decreasing from left to right!