Final answer:
The slope of the line through the points (5, 3) and (6, 9) is 6, indicating a rise of 6 units in the y direction for each unit increase in the x direction.
Step-by-step explanation:
To find the slope of the line that passes through the points (5, 3) and (6, 9), we use the slope formula which is:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) is the first point and (x2, y2) is the second point. Substituting the given points into the formula, we get:
m = (9 - 3) / (6 - 5) = 6 / 1 = 6
So, the slope of the line is 6. This slope indicates that for every one unit increase in x, the y value increases by six units.