How do you calculate the slope of the line that passes through the points (2, 5) and (3, 6)?

To calculate the slope of a line that passes through two points, you can use the slope formula:

m = (y₂ – y₁) / (x₂ – x₁)

Where (x₁, y₁) are the coordinates of the first point and (x₂, y₂) are the coordinates of the second point. In this case, our points are (2, 5) and (3, 6).

Assigning the variables from the points:
(x₁, y₁) = (2, 5)
(x₂, y₂) = (3, 6)

Now, plug in the values into the formula:

m = (6 – 5) / (3 – 2)

This simplifies to:

m = 1 / 1

Thus, the slope (m) of the line is:

m = 1

This means for every unit you move to the right on the x-axis, the line rises one unit on the y-axis. In simple terms, the line has a positive slope, indicating that as x increases, y also increases.