Final answer:
The slope of the line passing through the points (-3, -4) and (4, 1) is calculated using the formula (y2 - y1) / (x2 - x1) which results in 5/7, corresponding to option B.
Step-by-step explanation:
To find the slope of the line passing through the points (-3, -4) and (4, 1), we use the slope formula which is (y2 - y1) / (x2 - x1). In this case:
- x1 = -3, y1 = -4
- x2 = 4, y2 = 1
Plugging these values into the slope formula, we get:
Slope = (1 - (-4)) / (4 - (-3))
Slope = (1 + 4) / (4 + 3)
Slope = 5 / 7
Therefore, the slope of the line passing through the points (-3, -4) and (4, 1) is 5/7, which corresponds to option B in the provided choices.