Final answer:
The slope of the line passing through the points (-7,4) and (9,2) is calculated using the formula for slope, yielding a slope of -1/8.
Step-by-step explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula:
slope (m) = (y2 - y1) / (x2 - x1).
For the points given in the question, (-7,4) and (9,2), let's apply this formula.
First, identify the coordinates of the two points: (x1, y1) = (-7, 4) and (x2, y2) = (9, 2).
Next, plug the coordinates into the formula:
m = (2 - 4) / (9 - (-7))
m = (-2) / (9 + 7)
m = (-2) / (16)
m = -1/8
Therefore, the slope of the line that passes through the points (-7,4) and (9,2) is -1/8.