Question

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 in the box.

Answer 1

-6/7

Explanation:

The slope of DE is ...

... slope = (change in y)/(change in x) = (-3-4)/(1-7) = -7/-6 = 7/6

The slope of the perpendicular line is the opposite reciprocal of this, ...

... -1/(7/6) = -6/7 . . . . slope of perpendicular line