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  Write an equation of the line that passes through (3,-5) and is perpendicular to the line through (1,4) and (3,-2).
  
  Sep 3, 2020
  
  #1
  +28025
  +1
  
  line through (1,4) and (3,-2).....      slope  =  m =  (4- -2) / ( 1-3) =  -3
  
  perpindicular is  - 1/m  =   1/3
  
  Point slope form of line thru   3, -5     with slope 1/3
  
  (y+5) = 1/3 (x-3)
  
  Sep 3, 2020
explanation: The document contains a math question and a detailed answer to the question. The question asks for the equation of a line that passes through a specific point and is perpendicular to another line defined by two points. The answer provides the steps to find the equation of the line.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: +0
  
  0
  97
  1
  
  Write an equation of the line that passes through (3,-5) and is perpendicular to the line through (1,4) and (3,-2).
  
  Sep 3, 2020
  
  #1
  +28025
  +1
  
  line through (1,4) and (3,-2).....      slope  =  m =  (4- -2) / ( 1-3) =  -3
  
  perpindicular is  - 1/m  =   1/3
  
  Point slope form of line thru   3, -5     with slope 1/3
  
  (y+5) = 1/3 (x-3)
  
  Sep 3, 2020
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and a detailed answer to the question. The question asks for the equation of a line that passes through a specific point and is perpendicular to another line defined by two points. The answer provides the steps to find the equation of the line.
  
  Label: question-and-answer