Final answer:
To find the slope between two points (9, 6) and (2, 10), we use the slope formula (y2 - y1) / (x2 - x1) and calculate it as -4/7.
Step-by-step explanation:
To find the slope of a line that passes through two points, we use the following formula:
- Slope (m) = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)
Applying this formula to the points (9, 6) and (2, 10):
- Change in y = 10 - 6 = 4
- Change in x = 2 - 9 = -7
- Slope (m) = 4 / (-7) = -4/7
Thus, the slope of the line is -4/7.