Question

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

A.The lines are perpendicular to each other because and are opposite reciprocals of each other.
B.The lines are perpendicular to each other because 2 and are opposite reciprocals of each other.
C.The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
D.The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.

Answer 1

Answer:

The lines are parallel.

Step-by-step explanation:

y = mx + b , "m" is slope and "b" is y-intercept.

Parallel lines have the same slope but different y-intercept.

Slopes of perpendicular lines are opposite reciprocals.

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y = x + 2 , m = 1, b = 2

y = x , m = 1, b = 0

Thus, given lines are parallel.