SOLUTION: Given the two lines • 2x − y = −8 • x + 2y = 10 determine which of the following best describes their relationship to each other. A. parallel B. perpendicular C.

Algebra ->  Graphs -> SOLUTION: Given the two lines • 2x − y = −8 • x + 2y = 10 determine which of the following best describes their relationship to each other. A. parallel B. perpendicular C.       Log On


   

Question 1001962: Given the two lines
• 2x − y = −8
• x + 2y = 10
determine which of the following best describes their relationship to each other.
A. parallel
B. perpendicular
C. congruent
D. skew
E. none of the above
Please explain.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2x-+y+=+-8
x+%2B+2y+=+10
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write both in slope-intercept form y=ax%2Bb where a is a slope and b is y-intercept
recall that:
parallel lines have same slope
perpendicular lines have slopes negative reciprocal of each other
2x%2B8+=+y=>a=2
y+=-%281%2F2%29x%2B+5=>a=-%281%2F2%29
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since a=2 is negative reciprocal of a=-%281%2F2%29, your lines are perpendicular
here is a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%281%2F2%29x%2B+5%2C+2x%2B8%29+
and, your answer is: B. perpendicular