Final answer:
The slope of the line passing through the points (2, 3) and (10, 19) is calculated as 2, following the formula for the slope of a straight line using the rise over the run between two points.
Step-by-step explanation:
To find the slope of a line passing through two points, we use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Given the points (2, 3) and (10, 19), we calculate the slope as follows:
slope = (19 - 3) / (10 - 2)
slope = 16 / 8
slope = 2
This means the slope is 2, which represents a rise of 2 units on the vertical axis for every increase of 1 unit on the horizontal axis.