To determine the slope and y-intercept of the given line from the graph:

Step 1: Identify two points on the line

From the graph:

• One point is $(0, 8)$ (y-intercept).
• Another point is $(2, 6)$.

Step 2: Calculate the slope

The formula for slope is: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substitute the points $(0, 8)$ and $(2, 6)$: $m = \frac{6 - 8}{2 - 0} = \frac{-2}{2} = -1$

So, the slope $m$ is $-1$.

Step 3: Determine the y-intercept

The y-intercept is the value of $y$ where the line crosses the y-axis. From the graph, the line crosses at $y = 8$.

Final Answer:

• Slope ($m$): $-1$
• Y-intercept ($b$): $8$

Would you like further clarification or additional examples?

Follow-up Questions:

1. Can you calculate the slope using two other points from the graph?
2. How would the equation of the line look using the slope-intercept form $y = mx + b$?
3. What does the negative slope tell you about the direction of the line?
4. How can you verify the slope using the rise over run method directly from the graph?
5. If the line extended, at what x-coordinate would $y = 0$ (the x-intercept)?

Tip:

Always double-check the rise (change in $y$) and run (change in $x$) directly from the graph to ensure the slope is accurate.