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The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) . What is the slope of the line that is perpendicular to DE¯¯¯¯¯? Enter your answer as a simplified fraction.
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The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) . What is the slope of the line that is perpendicular to DE¯¯¯¯¯?

Enter your answer as a simplified fraction.

User Evenodd
by
6.4k points

1 Answer

4 votes
The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
M1× M2 = -1
Thus, the slope of a perpendicular to line DE will be -6/7.
User Kalpa
by
6.2k points
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