Final answer:
The slope of the line between the points (2, 3) and (10, 19) is calculated as the rise over the run. Subtracting the y-coordinates and dividing by the difference in x-coordinates gives a slope of 2.
Step-by-step explanation:
The slope of a line between two points can be calculated by finding the difference in the y-values (rise) and dividing it by the difference in the x-values (run). For the given points (2, 3) and (10, 19), we calculate the slope as follows:
- Subtract the first y-coordinate from the second y-coordinate to find the rise: 19 - 3 = 16.
- Subtract the first x-coordinate from the second x-coordinate to find the run: 10 - 2 = 8.
- Divide the rise by the run to find the slope: 16/8 = 2.
Therefore, the slope of the line is 2, which is already in reduced fraction form.