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Rearranging and Building Lines

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Build a Line

  • Find the equation of the line through (2, -3) that has slope -4

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Build a Line

  • Find the equation of the line through (2, -3) and (4, 1)

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How to Build a Line

  • To find the equation of a line we need only the slope and a point
  • Or use two points and
  • Get in slope-intercept form

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  • Then solve for

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Special Lines

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Special Lines

  • Find the equation of the vertical line that goes through (-3, 4)

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Special Lines

  • Find the equation of the horizontal line that goes through (-3, 4)

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Rearranging Lines

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Standard Form

  • What is the slope of the line

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Standard Form

  • Write the following line in standard form (everything on one side, no fractions)

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Standard Form

  • Standard form of a line is

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with no fractions in the line

  • To convert from slope-intercept form get everything to one side
  • To convert from standard form, isolate y

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Building a Line With Special Points

  • Find the equation of the line that has y-intercept 3 and x-intercept -4
  • Hint: Write the intercepts as points (0,3) and (-4,0)
  • Check your answer in Desmos

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