The slope of a line is calculated using the formula:
slope (m) = (y2 – y1) / (x2 – x1)
In this case, our points are (2, 5) and (3, 6). Here, (x1, y1) = (2, 5) and (x2, y2) = (3, 6).
Now, plug in the coordinates into the formula:
m = (6 – 5) / (3 – 2)
When we do the subtraction, we get:
m = 1 / 1 = 1
Thus, the slope of the line that passes through the points (2, 5) and (3, 6) is 1.
This means that for every unit you move to the right along the x-axis, you also move up one unit along the y-axis, showing a steady increase in y as x increases.