The slope of a line is calculated using the formula:
Slope (m) = (y₂ – y₁) / (x₂ – x₁)
In this case, the two points given are (3, 5) and (5, 3). Here, (x₁, y₁) = (3, 5) and (x₂, y₂) = (5, 3).
Now, substituting the values into the formula:
m = (3 – 5) / (5 – 3)
This simplifies to:
m = (-2) / (2) = -1
So, the slope of the line passing through the points (3, 5) and (5, 3) is -1.
This negative slope indicates that the line descends as it moves from left to right.