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Answer:
To find the slope of the line passing through the points (-2, 7) and (4, 9), we can use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Substitute the given coordinates:
x1 = -2, y1 = 7 (from point A)
x2 = 4, y2 = 9 (from point B)
Slope (m) = (9 - 7) / (4 - (-2))
Slope (m) = (2) / (4 + 2)
Slope (m) = 2 / 6
Slope (m) = 1/3
Therefore, the slope of the line passing through the points (-2, 7) and (4, 9) is 1/3