Final answer:
The slope of the line passing through the points (7, 5) and (6, 12) is calculated using the slope formula and the answer is -7.
Step-by-step explanation:
To find the slope of the line that passes through two points (7, 5) and (6, 12), you can use the slope formula m = (y2 - y1) / (x2 - x1), where x1, y1 are the coordinates of the first point, and x2, y2 are the coordinates of the second point. Plugging in the values from the points given will give you:
m = (12 - 5) / (6 - 7)
m = 7 / -1
m = -7
Therefore, the slope of the line is -7, which corresponds to answer choice B.