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Common Core Standard HSG-GPE.B.5 Questions

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

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Grade 9 Linear Equations CCSS: HSG-GPE.B.5
Choose the equation of a line that is perpendicular to 3x+4y=2 and passes through (3, 1).
  1. y=-34x+134
  2. y=-43x+5
  3. y=34x-54
  4. y=43x-3
Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.5
Which of the following is the equation of a line that is perpendicular to y = -2x - 3 and passes through the point (-3, 3)?
  1. y=2x+4
  2. y=-2x+94
  3. y=12x+92
  4. y=-12x+94
Grade 10 Linear Equations CCSS: HSG-GPE.B.5
Write the equation of a line parallel to y=25x-3 that goes through the point (1,-1).
  1. y=52x-3
  2. y=25x-75
  3. y=-52x-75
  4. y=-52x+32
Grade 9 Linear Equations CCSS: HSG-GPE.B.5
Write the equation of the line in slope-intercept form passing through the point (-6, 7) and parallel to 3x+7y=3.
  1. y=37x-317
  2. y=-73x+73
  3. y=-37x+317
  4. y=37x+37
Grade 9 Linear Equations CCSS: HSG-GPE.B.5
Write the equation of the line in slope-intercept form passing through the point (-5, -2) and perpendicular to -5x-2y=27.
  1. y=52x+212
  2. y=25x
  3. y=-52x-292
  4. y--25x-4
Grade 9 Linear Equations CCSS: HSG-GPE.B.5
Which line is parallel to y=3x-7?
  1. y=-3x-7
  2. y=-x3+2
  3. y=x3+7
  4. y=3x+10
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