Answer :

It is found that Lines L1 and L2 are parallel. and Lines L1 and L4 are NOT perpendicular.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

WE can conclude that L1 and L2 are Parallel because they do not intersect. Since the two lines on the same plane are parallel to each other if they never intersect each other, ragardless of distance they are extended on either side.

Lines L1 and L4 are NOT perpendicular because they do NOT intersect at an 90° angle to each other.

In geometry, the perpendicular lines are defined as two lines that meet or intersect each other at right angles or 90° thus Lines L1 and L4 are NOT perpendicular.

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