Final answer:
The slope of the line that contains the points (-20,75) and (-8,39) is calculated using the slope formula m = (y2 - y1) / (x2 - x1), yielding a slope of -3.
Step-by-step explanation:
To find the slope of a line that contains the points (-20,75) and (-8,39), you can use the slope formula which is m = (y2 - y1) / (x2 - x1). In this case, (x1, y1) is the first point (-20, 75) and (x2, y2) is the second point (-8, 39).
- First, subtract the y-values: 39 - 75 = -36.
- Then, subtract the x-values: -8 - (-20) = -8 + 20 = 12.
- Now, divide the difference in y-values by the difference in x-values to get the slope: m = -36 / 12 = -3.
Therefore, the slope of the line is -3.