Final answer:
The slope of the line between the points (7, 8) and (-8, 1) is found using the slope formula. By calculating the change in y over the change in x, we get a slope of 7/15. Therefore, the correct answer is option c) 7/15.
Step-by-step explanation:
To find the slope of the line passing through the points (7, 8) and (-8, 1), we can use the slope formula, which is the change in y divided by the change in x (rise over run). The formula is given by m = (y2 - y1) / (x2 - x1), where m is the slope and (x1, y1) and (x2, y2) are the given points.
Applying the formula, we would have m = (1 - 8) / (-8 - 7) = -7 / -15. This simplifies to m = 7/15, which is the slope in the simplest form. So the answer is option c) 7/15.