Question

Are the lines x− 2y= 4 and y= 2x − 2 parallel, perpendicular, or neither? Explain your answer. [ Select ] ; their [ Select ] [ Select ] the same and [ Select ] receiprocals.

Answer 1

Neither.

Explanation:

First we alter the first equation to match the second.

x - 2y = 4

2y = x - 4

y = x/2 - 2.

Next we compare the slopes

2x = 2

x/2 = 1/2

Their slopes are reciprocals, but they aren't opposites. Therefore they are neither parallel nor perpendicular.