Final answer:
The slope of the line that passes through the points (6,-1) and (2,-1) is calculated to be 0, indicating a horizontal line with no rise.
Step-by-step explanation:
To find the slope of a line that passes through two given points, one can use the slope formula. The slope is the difference in y-values (rise) divided by the difference in x-values (run) between two points on a line.
Given the points (6,-1) and (2,-1), we can calculate the slope with the following steps:
- Identify the coordinates of the two points: (x1, y1) = (6, -1) and (x2, y2) = (2, -1).
- Plug the coordinates into the slope formula: m = (y2 - y1) / (x2 - x1).
- Substitute the values: m = (-1 - (-1)) / (2 - 6).
- Calculate the slope: m = (0) / (-4).
- The slope m is zero because the change in y is zero.
Therefore, the slope of the line that passes through the points (6,-1) and (2,-1) is 0.