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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 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
Choose the equation of a line passing through (3, 1) that is perpendicular to y=(-12)x-(14).
  1. y=2x-5
  2. y=3x-1
  3. y=(12)x-6
  4. y=(12)x+(12)
Grade 9 Linear Equations CCSS: HSG-GPE.B.5
Which equation passes through (-1,1) and is parallel to y=-2x+1?
  1. y=-2x-1
  2. y=12x+13
  3. y=-2x+1
  4. y=-12x-12
Grade 9 Linear Equations CCSS: HSG-GPE.B.5
Write an equation in slope-intercept form for the line that passes through (-2,3) and is parallel to the line with equation 3x + 2y = 6.
  1. y=-38x-914
  2. y=-32x
  3. y=-23x+3
  4. y=3x+9
Grade 9 Linear Equations CCSS: HSG-GPE.B.5
Which best describes the relationship between the line through E and F and the line through G and H?
E(-6, -11), F(4, 19), G(9, 4), H(5, 1)
  1. Perpendicular
  2. Parallel
  3. Neither perpendicular or parallel
  4. They are the same line
Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.5
The graph of which equation passes through (-3,-2) and is perpendicular to the graph of y=34x+8?
  1. y=-34x-5
  2. y=34x+14
  3. y=-43x+5
  4. y=-43x-6
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