Which statement explains how the lines x - y = 2 and y = x + 1 are related? They are parallel. They are perpendicular. They are the same line. They are not related.

Question

Hayden Fuller

Mathematics

3 March, 07:29

Which statement explains how the lines x - y = 2 and y = x + 1 are related? They are parallel. They are perpendicular. They are the same line. They are not related.

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Answers (1)

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Omari Logan · Answer 1

They are parallel.

Step-by-step explanation:

L1: x - y = 2; or x-y-2=0

L2: y = x + 1; or x-y+1=0

The slope of the line L: ax+by+c=0 is m = - a/b.

L1: x-y-2=0=> m1 = (-1) / (-1) = 1

L2: x-y-1=0=> m2 = (-1) / (-1) = 1

L1 and L2 have the same slope; m1=m2=1

=> L1 and L2 are parallel.