Final answer:
The slope between points (9, 2) and (1, 6) is found using the slope formula (y2 - y1) / (x2 - x1), which results in -1/2.
Step-by-step explanation:
The student has asked how to find the slope between two points, which indicates they're learning about the algebra of straight lines in a mathematics class. The two points provided are (9, 2) and (1, 6). To find the slope between these two points, we use the slope formula, which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, (9, 2) is (x1, y1) and (1, 6) is (x2, y2).
Applying the slope formula, we get:
Slope = (6 - 2) / (1 - 9)
Slope = 4 / -8
Slope = -1/2
Therefore, the slope between the points (9, 2) and (1, 6) is -1/2.