The slope of a line is calculated using the formula:
Slope (m) = (y2 – y1) / (x2 – x1)
In this case, the coordinates are:
- (x1, y1) = (6, 9)
- (x2, y2) = (7, 1)
Now, we can plug in the values into our slope formula:
m = (1 – 9) / (7 – 6)
This simplifies to:
m = (-8) / (1) = -8
Therefore, the slope of the line that connects the points (6, 9) and (7, 1) is -8.
This negative value indicates that the line is descending as it moves from left to right.