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Question:

If the straight line 2x - 3y + 17 = 0 is perpendicular to the line passing through the points (7, 17) and (15, β), then β equals :

𕒹

5

353

Solution:

Slope of given line is 2/3
Lines are perpendicular so (17 - β)/8 × 2/3 = -1
β = 5