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 ->  Linear-equations -> 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 1001937: 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 show work.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each for y in terms of x. Are the equations identical? What is the slope of each?

If the equations are equivalent, then "congruent". If slopes are the same but equations not equivalent, then parallel; if slopes are negative reciprocals, then perpendicular. "Skew" is not applicable in the restricted two dimensions of just x and y.