Problem
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 $\mathrm{n}$ Line 1 and Line 2: Line 1 and Line 3: Line 2 and Line 3 : Parallel Parallel Parallel Perpendicular Perpendicular Perpendicular Neither Neither Neither
Solution
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.
