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Write the equation of a perpendicular line through a point

9th grade (Year 10 in England) · 16 questions · Common Core: HSG.GPE.B.5 · England: GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    A line has slope −1/4. What is the slope of a line perpendicular to it? Give a fraction or whole number.

    Answer(as a fraction)

  2. Question 2

    Find the line perpendicular to y = −(1/3)x − 1 through (−4, −3). Type the right-hand side of y = … .

    Answer

  3. Question 3

    Find the line perpendicular to y = x that passes through (1, 4). Type the right-hand side of y = … .

    Answer

  4. Question 4

    A line has slope −1/4. What is the slope of a line perpendicular to it? Give a fraction or whole number.

    Answer(as a fraction)

  5. Question 5

    Find the line perpendicular to y = −(1/2)x − 4 through (1, −5). Type the right-hand side of y = … .

    Answer

  6. Question 6

    Find the line perpendicular to y = 2x + 3 that passes through (−4, 0). Type the right-hand side of y = … .

    Answer

  7. Question 7

    A line has slope 1. What is the slope of a line perpendicular to it? Give a fraction or whole number.

    Answer(as a fraction)

  8. Question 8

    Find the line perpendicular to y = (1/3)x through (−3, −6). Type the right-hand side of y = … .

    Answer

  9. Question 9

    Find the line perpendicular to y = −3x + 1 that passes through (0, −2). Type the right-hand side of y = … .

    Answer

  10. Question 10

    A line has slope −3/2. What is the slope of a line perpendicular to it? Give a fraction or whole number.

    Answer(as a fraction)

  11. Question 11

    Find the line perpendicular to y = (1/3)x − 2 through (−4, 4). Type the right-hand side of y = … .

    Answer

  12. Question 12

    Find the line perpendicular to y = −x + 1 that passes through (−1, 0). Type the right-hand side of y = … .

    Answer

  13. Question 13

    A line has slope −1. What is the slope of a line perpendicular to it? Give a fraction or whole number.

    Answer(as a fraction)

  14. Question 14

    Find the line perpendicular to y = −(1/5)x through (4, 1). Type the right-hand side of y = … .

    Answer

  15. Question 15

    Find the line perpendicular to y = 4x + 2 that passes through (0, −6). Type the right-hand side of y = … .

    Answer

  16. Question 16

    A line has slope 4. What is the slope of a line perpendicular to it? Give a fraction or whole number.

    Answer(as a fraction)

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  1. 4
  2. 3x+9
  3. -x+5
  4. 4
  5. 2x-7
  6. -(1/2)x-2
  7. -1
  8. -3x-15
  9. (1/3)x-2
  10. 2/3
  11. -3x-8
  12. x+1
  13. 1
  14. 5x-19
  15. -(1/4)x-6
  16. -1/4