To determine the rise and run from the point (0, 0) to the point (6, -1), we can analyze the vertical and horizontal changes between the two points.
Rise: The rise is the change in the y-coordinate from (0, 0) to (6, -1).
- Initial y-coordinate: 0
- Final y-coordinate: -1
- Rise = Final y - Initial y = -1 - 0 = -1
Run: The run is the change in the x-coordinate from (0, 0) to (6, -1).
- Initial x-coordinate: 0
- Final x-coordinate: 6
- Run = Final x - Initial x = 6 - 0 = 6
So, we have:
- The rise from (0, 0) to (6, -1) = -1.
- The run from (0, 0) to (6, -1) = 6.
Question 2: Slope The slope (m) of a line is calculated as:
\[ m = \frac{\text{rise}}{\text{run}} \]
Using the values calculated:
\[ m = \frac{-1}{6} \]
So the slope of this line is:
−1/6 (negative 1 sixth).