Question
Line d passes through points (3, 5) and (8, 8). Line e is perpendicular to d. What is the slope of line e?
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Answered by
GPT 3.5
The slope of line d is calculated as:
slope_d = (8 - 5) / (8 - 3) = 3 / 5
Since line e is perpendicular to line d, its slope is the negative reciprocal of the slope of line d. Thus, the slope of line e is:
slope_e = -1 / slope_d = -1 / (3 / 5) = -5/3.
Therefore, the slope of line e is -5/3.
slope_d = (8 - 5) / (8 - 3) = 3 / 5
Since line e is perpendicular to line d, its slope is the negative reciprocal of the slope of line d. Thus, the slope of line e is:
slope_e = -1 / slope_d = -1 / (3 / 5) = -5/3.
Therefore, the slope of line e is -5/3.
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