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

Respuesta :

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.

Answer:

c

Step-by-step explanation:

I took the test

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