Final answer:
The slope of a line passing through points A(4,3) and B(-1,1) is calculated using the slope formula and equals 2/5.
Step-by-step explanation:
The slope of a line passing through two points, A(4,3) and B(-1,1), can be found using the slope formula,
m = (y2 - y1) / (x2 - x1).
For points A and B, we can plug in the coordinates into the formula to get the slope. Specifically:
m = (1 - 3) / (-1 - 4)
m = (-2) / (-5)
m = 2/5
Therefore, the slope of the line passing through points A(4,3) and B(-1,1) is 2/5.