To find the slope of the line passing through the two points, we can use the formula for slope, which is:
slope (m) = (y2 – y1) / (x2 – x1)
Here, we have two points: (x1, y1) = (2, 5) and (x2, y2) = (4, 1).
Plugging the coordinates into the formula, we get:
m = (1 – 5) / (4 – 2)
This simplifies to:
m = (-4) / (2)
Finally, we find:
m = -2
So, the slope of the line passing through the points (2, 5) and (4, 1) is -2. This means that for every 2 units the line goes down in the y-direction, it goes 1 unit to the right in the x-direction.