Final answer:
The slope of the line passing through (4, 1) and (0, − 19) is calculated using the slope formula and results in a slope of 5.
Step-by-step explanation:
To find the slope of a line that passes through two points, you can use the formula slope (m) = (y2 - y1) / (x2 - x1). For the points (4, 1) and (0, − 19).
we can plug in the coordinates into the formula as follows: m = (1 - (− 19)) / (4 - 0), which simplifies to m = 20 / 4.
Therefore, the slope of the line is 5, as it is the change in y divided by the change in x between the two points.