Answer: -13/17
Step-by-step explanation: To find the slope of the line that passes through the points (-9, 7) and (8, -6), you can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-9, 7) and (x2, y2) = (8, -6)
Substituting the values in the formula, we get:
slope = (-6 - 7) / (8 - (-9))
slope = -13 / 17
Therefore, the slope of the line that passes through the points (-9, 7) and (8, -6) is -13/17.