Engineering Board Exam Reviewer · Angle Between Two Lines · medium

A line through (-5,2) and (1,-4) is perpendicular to the line through (x,-7) and (8,7). Find x.

  1. -4
  2. -5
  3. -6
  4. -19/3

Answer

C. -6

Solution

slope of the first line = -4-2/1-(-5) = -1. Setting the product of slopes to -1: (-1)≤ft[14/8-x ]=-1, giving 8-x=14, so x=-6.

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