text: Anonymous
  Anonymous asked in Education & ReferenceHomework Help · 3 months ago
  
  # Help- Find the equation of the line containing (1,4) and 3,-2) in slope intercept form.?
  
  ### 2 Answers
  
  Relevance
  • 3 months ago
  Favorite Answer
  
  (x₁, y₁) = (1, 4)
  
  (x₂, y₂) = (3, -2)
  
  m = slope
  
  = rise / run
  
  = (change in y) / (change in x)
  
  = (y₂ - y₁) / (x₂ - x₁)
  
  = (-2 - 4) / (3 - 1)
  
  = -6 / 2
  
  = -3
  
  Use that slope and either of the given points in the point-slope form of an equation for a line. I'll use point (x₁, y₁) = (1, 4) :
  
  y - y₁ = m(x - x₁)
  
  y - 4 = -3(x - 1)
  
  y - 4 = -3x + 3
  
  y = -3x + 7
  
  Graph:
  
  https://www.desmos.com/calculator/xr7bakvrke
  
  • Login to reply the answers
  • David
  Lv 7
  3 months ago
  
  Points: (1, 4) and (3, -2)
  
  Slope: -3
  
  Equation: y = -3x + 7
  
  • Login to reply the answers
  Still have questions? Get your answers by asking now.
explanation: The text extract contains a math question and an answer. The question asks for the equation of the line containing the points (1,4) and (3,-2) in slope-intercept form. The answer provided calculates the slope and then uses the point-slope form to find the equation of the line, which is y = -3x + 7.
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: Anonymous
  Anonymous asked in Education & ReferenceHomework Help · 3 months ago
  
  # Help- Find the equation of the line containing (1,4) and 3,-2) in slope intercept form.?
  
  ### 2 Answers
  
  Relevance
  • 3 months ago
  Favorite Answer
  
  (x₁, y₁) = (1, 4)
  
  (x₂, y₂) = (3, -2)
  
  m = slope
  
  = rise / run
  
  = (change in y) / (change in x)
  
  = (y₂ - y₁) / (x₂ - x₁)
  
  = (-2 - 4) / (3 - 1)
  
  = -6 / 2
  
  = -3
  
  Use that slope and either of the given points in the point-slope form of an equation for a line. I'll use point (x₁, y₁) = (1, 4) :
  
  y - y₁ = m(x - x₁)
  
  y - 4 = -3(x - 1)
  
  y - 4 = -3x + 3
  
  y = -3x + 7
  
  Graph:
  
  https://www.desmos.com/calculator/xr7bakvrke
  
  • Login to reply the answers
  • David
  Lv 7
  3 months ago
  
  Points: (1, 4) and (3, -2)
  
  Slope: -3
  
  Equation: y = -3x + 7
  
  • Login to reply the answers
  Still have questions? Get your answers by asking now.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question and an answer. The question asks for the equation of the line containing the points (1,4) and (3,-2) in slope-intercept form. The answer provided calculates the slope and then uses the point-slope form to find the equation of the line, which is y = -3x + 7.
  
  Label: question-and-answer