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Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:
Applying distributive property,
Line 2:
Line 3:
Applying distributive property,
Line 4:
re-arranging,
Now we have rewritten all the lines in the form , where m is the slope. By comparing the values of m, we see:
Therefore, the lines which are parallel are line 1 and line 4.
Learn more about parallel and perpendicular lines:
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