Lines, Functions, Systems Identifying parallel and perpendicular lines from equations

The equations of three lines are given below.
Line 1: $y = 2 x - 7$
Line 2: $6 x - 3 y = - 12$
Line 3: $y = 2 x - 2$

For each pair of lines, determine whether they are parallel, perpendicular, or $n$
Line 1 and Line 2:
Line 1 and Line 3:
Line 2 and Line 3 :
Parallel
Parallel
Parallel
Perpendicular
Perpendicular
Perpendicular
Neither
Neither
Neither

Answer

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Answer

Comparing Line 2 and Line 3, both lines have the same slope of 2. Therefore, Line 2 and Line 3 are parallel.

Steps

Step 1 ：The slope of Line 1 is 2.

Step 2 ：The slope of Line 2 is also 2.

Step 3 ：The slope of Line 3 is 2.

Step 4 ：Comparing Line 1 and Line 2, both lines have the same slope of 2. Therefore, Line 1 and Line 2 are parallel.

Step 5 ：Comparing Line 1 and Line 3, both lines have the same slope of 2. Therefore, Line 1 and Line 3 are parallel.

Step 6 ：Comparing Line 2 and Line 3, both lines have the same slope of 2. Therefore, Line 2 and Line 3 are parallel.