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Lesson: Equation of a Perpendicular Line

Sample Question Videos

Worksheet • 5 Questions • 1 Video

Q1:

Find, in slope-intercept form, the equation of the line perpendicular to 𝑦 = 2 π‘₯ βˆ’ 4 that passes through the point 𝐴 ( 3 , βˆ’ 3 ) .

  • A 𝑦 = βˆ’ 1 2 π‘₯ βˆ’ 3 2
  • B 𝑦 = βˆ’ 3 2 π‘₯ + 1 2
  • C 𝑦 = βˆ’ 1 2 π‘₯ + 3 2
  • D 𝑦 = 2 π‘₯ + 9
  • E 𝑦 = 2 π‘₯ βˆ’ 9

Q2:

Find, in slope-intercept form, the equation of the line perpendicular to 𝑦 = βˆ’ 2 π‘₯ + 3 that passes through the point 𝐴 ( 3 , 3 ) .

  • A 𝑦 = 1 2 π‘₯ + 3 2
  • B 𝑦 = 3 2 π‘₯ βˆ’ 1 2
  • C 𝑦 = 1 2 π‘₯ βˆ’ 3 2
  • D 𝑦 = βˆ’ 2 π‘₯ βˆ’ 9
  • E 𝑦 = βˆ’ 2 π‘₯ + 9

Q3:

Find, in slope-intercept form, the equation of the line perpendicular to 𝑦 = 2 π‘₯ + 2 that passes through the point 𝐴 ( βˆ’ 5 , 1 ) .

  • A 𝑦 = βˆ’ 1 2 π‘₯ βˆ’ 3 2
  • B 𝑦 = βˆ’ 3 2 π‘₯ + 1 2
  • C 𝑦 = βˆ’ 1 2 π‘₯ + 3 2
  • D 𝑦 = 2 π‘₯ βˆ’ 1 1
  • E 𝑦 = 2 π‘₯ + 1 1

Q4:

Find, in slope-intercept form, the equation of the line perpendicular to 𝑦 = 9 π‘₯ + 4 that passes through the point 𝐴 ( βˆ’ 1 , 4 ) .

  • A 𝑦 = βˆ’ 1 9 π‘₯ + 3 5 9
  • B 𝑦 = 3 5 9 π‘₯ + 1 9
  • C 𝑦 = βˆ’ 1 9 π‘₯ βˆ’ 3 5 9
  • D 𝑦 = 9 π‘₯ βˆ’ 1 3
  • E 𝑦 = 9 π‘₯ + 1 3

Q5:

Find, in slope-intercept form, the equation of the line perpendicular to 𝑦 = βˆ’ 4 π‘₯ + 2 that passes through the point 𝐴 ( βˆ’ 3 , 3 ) .

  • A 𝑦 = 1 4 π‘₯ + 1 5 4
  • B 𝑦 = 1 5 4 π‘₯ βˆ’ 1 4
  • C 𝑦 = 1 4 π‘₯ βˆ’ 1 5 4
  • D 𝑦 = βˆ’ 4 π‘₯ + 9
  • E 𝑦 = βˆ’ 4 π‘₯ βˆ’ 9
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