Final answer:
The slope of the line through the points (15, 3) and (-19, 20) is calculated using the slope formula and is found to be -1/2.
Step-by-step explanation:
To find the slope of the line through the pair of points (15, 3) and (-19, 20), we use the formula for slope (m) given by:
m = (y2 - y1) / (x2 - x1)
Substituting the given points into this formula, we get:
m = (20 - 3) / (-19 - 15)
This simplifies to:
m = 17 / (-34)
Thus, the slope of the line is -1/2.
This calculation is based on the concept that slope is constant for any two points on a straight line. The slope tells us the rate at which the y-value of a point on a line changes with respect to its x-value.