text: College algebra
  
  posted by .
  
  Write the equation of m=6/7 through (0,3) in standard form
  
  • College algebra -
  
  Slope-intercept form of the equation
  y = mx + b
  m = slope = 6/7
  
  y = 6/7 x + b
  
  To find b, use point (0,3), where x = 0
  and y = 3. Solve for b.
  y = 6/7 x + b
  3 = 6/7(0) + b
  3 = 0 + b
  b = 3
  
  So, the equation is
  y = 6/7 x + 3
explanation: The document contains a math question and its corresponding answer. The question asks for the equation of a line with a given slope (6/7) passing through a specific point (0,3) in standard form. The answer provides the slope-intercept form of the equation, y = 6/7 x + 3.
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: College algebra
  
  posted by .
  
  Write the equation of m=6/7 through (0,3) in standard form
  
  • College algebra -
  
  Slope-intercept form of the equation
  y = mx + b
  m = slope = 6/7
  
  y = 6/7 x + b
  
  To find b, use point (0,3), where x = 0
  and y = 3. Solve for b.
  y = 6/7 x + b
  3 = 6/7(0) + b
  3 = 0 + b
  b = 3
  
  So, the equation is
  y = 6/7 x + 3
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question asks for the equation of a line with a given slope (6/7) passing through a specific point (0,3) in standard form. The answer provides the slope-intercept form of the equation, y = 6/7 x + 3.
  
  Label: question-and-answer