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

ANSWER


`- (6)/(7)`

Step-by-step explanation

The given points are


`(x_1,y_1)=(7,4)`
and


`(x_2,y_2)=(1,-3)`

The formula for finding the slope is given by,


`slope = (y_1-y_1)/(x_1-x_1)`

We substitute the points to obtain,


`slope = ( - 3 - 4)/(1 - 7) = (7)/(6)`

The slope of the line that is perpendicular to DE is the negative reciprocal of


`(7)/(6)`

Thus, the line perpendicular to DE has slope,


`( - 1)/( ( 7)/(6) ) =-(6)/(7)`