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22 November, 11:51

Determine whether the pair of lines is parallel, perpendicular, or neither

x=2 and y = - 5

A) neither

B) perpendicular

C) parallel

+5
Answers (1)
  1. 22 November, 14:12
    0
    We have to turn the equation - 5x+10y=5 in to a y = equation so it's easier to compare.

    First, we add 5x to both sides to get 10y by itself: 10y = 5x + 5.

    Now we divide both sides by 10 to get y by itself: y = 0.5x + 5.

    In order for the lines to be perpendicular, the slopes must be opposite reciprocals of each other. The opposite of - 2 is 2 and the reciprocal of 2 is 1/2, or 0.5, so these lines are B: perpendicular.
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