Looking at the image, we can see a line plotted on a graph. The instructions ask for the "rise" and "run" of the line, which are used to determine the slope.

Steps to find the slope:

1. Identify two points on the line: The line intersects the grid at two clear points: (-9, 0) and (0, 6).

2. Calculate the rise: The "rise" is the change in the y-values between these two points.

   • The y-value at point (0, 6) is 6.
   • The y-value at point (-9, 0) is 0.
   • So, the rise = 6 - 0 = 6.

3. Calculate the run: The "run" is the change in the x-values between the two points.

   • The x-value at point (0, 6) is 0.
   • The x-value at point (-9, 0) is -9.
   • So, the run = 0 - (-9) = 9.

4. Determine the slope: The slope (m) is the ratio of the rise to the run.

   • Slope = rise / run = 6 / 9.
   • Simplifying this fraction, we get slope = 2/3.

Final Answer:

The slope of the line is 2/3 in simplest form.

Would you like further details or have any other questions?

Here are 5 related questions you can explore:

1. What happens to the slope if the line moves upward but the rise remains the same?
2. How do you determine if a line has a positive or negative slope?
3. What is the slope of a horizontal line?
4. How can you graph a line if you're only given the slope?
5. What is the difference between slope-intercept form and point-slope form of a line?

Tip: The slope can be interpreted as the steepness of a line, where a higher value indicates a steeper incline.