Segment AB is on the line y-3=2 (x+2) and segment CD is on the line y-3=1/2 (x+2). Which statement proves the relationship of segments AB and CD?

They are parallel because they have the same slope of 2

They are parallel because they have the same slope of - 1/2

They are perpendicular because they have slopes that are opposite reciprocals of 2 and - 1/2

They are perpendicular because they have slopes that are opposite reciprocals of - 2 and 1/2

Answer: C

Step-by-step explanation:

Given that the

Segment AB is on the line y-3=2 (x+2)

Make Y the subject of the formula and open the bracket

Y - 3 = 2x + 4

Y = 2x + 7 ... (1)

and segment CD is on the line

y-3=1/2 (x+2).

Open the bracket and make Y the subject of formula

Y - 3 = 1/2x + 2

Y = 1/2x + 5 ... (2)

Comparing the two equation 1 and 2

We can conclude that;

They are perpendicular because they have slopes that are opposite reciprocals of 2 and - 1/2

The answer is either C or D. One of the equation given is not correct.