Final answer:
The slope of the line passing through the points (1,20) and (-14,-3) is calculated using the slope formula and is 23/15.
Step-by-step explanation:
To find the slope of the line passing through the points (1,20) and (-14,-3), you use the slope formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the given points, we have:
- x1 = 1, y1 = 20
- x2 = -14, y2 = -3
Plugging these into the formula:
m = (-3 - 20) / (-14 - 1)
m = (-23) / (-15)
Therefore, the slope of the line is 23/15.