To calculate the slope of a line that passes through two points, you can use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
In this case, the points given are (2, 12) and (6, 11). We will label these points as follows:
- (x1, y1) = (2, 12)
- (x2, y2) = (6, 11)
Now we can plug the values into the slope formula:
m = (11 - 12) / (6 - 2)
Calculating the differences, we find:
m = (-1) / (4)
This simplifies to:
m = -1/4
Therefore, the slope of the line that passes through the points (2, 12) and (6, 11) is -1/4.