Final answer:
The slope of the line through the points (-3.7, -1.9) and (-1.9, -3.7) is calculated as -1, which indicates that the line has a negative slope.
Step-by-step explanation:
To find the slope of a line passing through two points, you can use the slope formula, which is (change in y) / (change in x) or (y2 - y1) / (x2 - x1). For the points given (-3.7, -1.9) and (-1.9, -3.7), let’s designate (-3.7, -1.9) as (x1, y1) and (-1.9, -3.7) as (x2, y2).
Now, we apply the slope formula: slope = (y2 - y1) / (x2 - x1) = (-3.7 - (-1.9)) / (-1.9 - (-3.7)) = (-3.7 + 1.9) / (-1.9 + 3.7) = (-1.8) / (1.8) = -1.
Since the slope is a negative number, it means that the line has a negative slope, which indicates that as we move from left to right, the line goes downwards. Therefore, the correct answer is (d) negative.