Final answer:
The slope of the line passing through the points (9, -4) and (19, 11) is calculated using the slope formula and is found to be 1.5.
Step-by-step explanation:
To find the slope of a line that passes through two points, we can use the slope formula, which is the difference in the y-coordinates of the points divided by the difference in the x-coordinates of the points. This can be represented as m = (y2 - y1)/(x2 - x1), where m is the slope, (x1, y1) is the first point, and (x2, y2) is the second point.
For the points (9, -4) and (19, 11), the slope calculation would be:
m = (11 - (-4))/(19 - 9)
m = (11 + 4)/10
m = 15/10
m = 1.5
Therefore, the slope of the line that passes through the points (9, -4) and (19, 11) is 1.5.