Are the lines x− 2y= 4 and y= 2x − 2 parallel, perpendicular, or neither? Explain your answer. [ Select ] ; their [ Select ] [ S
elect ] the same and [ Select ] receiprocals.
1 answer:
Answer:
Neither.
Step-by-step 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.
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