Final answer:
The slope of the line passing through (-4,5) and (6,1) is calculated using the formula for slope (y2 - y1) / (x2 - x1). The computation results in a slope of -2/5, matching option C for the correct answer.
Step-by-step explanation:
The slope of a line passing through two points can be calculated using the formula m = (y2 - y1) / (x2 - x1).
Given the ordered pairs (-4,5) and (6,1), we can label these points as (x1, y1) and (x2, y2) respectively. Then, we substitute the values into the slope formula to find the slope of the line:
m = (1 - 5) / (6 - (-4))
m = (-4) / (10)
m = -2/5
Therefore, the slope of the line formed by the ordered pairs is -2/5, which corresponds to option C.