Question

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

Answer 1

Answer:

c is the right answer of the following gap

Answer 2

Answer:

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