To find the slope of the line that passes through the points (2, 3) and (3, 1), we can use the slope formula:
slope (m) = (y₂ – y₁) / (x₂ – x₁)
Here, (x₁, y₁) is the first point (2, 3) and (x₂, y₂) is the second point (3, 1).
Substituting these values into the formula gives us:
m = (1 – 3) / (3 – 2)
Calculating this step-by-step:
- 1 – 3 = -2
- 3 – 2 = 1
So, we have:
m = -2 / 1 = -2
Therefore, the slope of the line that passes through the points (2, 3) and (3, 1) is -2. This negative slope indicates that the line descends as it moves from left to right.