Segment ab is on the line y-9= -4 (x + 1) and segment cd is on the line y-6= 1/4 (x-3). which statement proves the relationship of segments ab and cd?
a. they are perpendicular because they have slopes that are opposite reciprocals of 4 and -1/4
b. they are parallel because they have the same slope of 4
c. they are perpendicular because they have slopes that are opposite reciprocals of -4 and 1/4
d. they are parallel because they have the same slope of -1/4

c is the right answer of the following gap

A) and C) They are perpendicular because they have slopes that are opposite reciprocals of -4 and 1/4

Step-by-step explanation:

Equation of the line

y-xo = m (x-xo)

(xo, yo): point where the line passes

m: slope of the line

Segment AB: y-9= -4 (x + 1)  , mAB= - 4

Segment CD:  y-6= 1/4 (x-3)  ,mCD=  1/4

If the lines are perpendicular, the product of the slopes will be −1

mAB*mCD=  - 4 *  1/4 = -1

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