Final answer:
To find the slope of the line passing through the points (-2, 14) and (4, 7), use the slope formula m = (y2 - y1) / (x2 - x1). The slope is found to be -7/6, making the correct answer C) -7/6.
Step-by-step explanation:
To find the slope of the line that passes through the points (-2, 14) and (4, 7), we use the slope formula which is the change in y over the change in x (rise over run). The formula is represented as:
m = (y2 - y1) / (x2 - x1)
Where m is the slope, (x1, y1) is the first point, and (x2, y2) is the second point. Applying the formula, we have:
m = (7 - 14) / (4 - (-2))
m = (-7) / (6)
m = -7/6
The correct answer is C) -7/6, meaning that for every 6 units increase in the x-direction, there is a 7 units decrease in the y-direction.