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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

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  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 = −3x − 2 that passes through (−3, −2). Type the right-hand side of y = … .

    Answer

  3. Question 3

    Find the line perpendicular to y = (1/2)x − 3 through (4, −5). Type the right-hand side of y = … .

    Answer

  4. Question 4

    A line has slope 5. 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 = −3x + 3 that passes through (6, 2). Type the right-hand side of y = … .

    Answer

  6. Question 6

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

    Answer

  7. Question 7

    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)

  8. Question 8

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

    Answer

  9. Question 9

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

    Answer

  10. Question 10

    A line has slope −1/2. 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 = −x that passes through (0, −4). Type the right-hand side of y = … .

    Answer

  12. Question 12

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

    Answer

  13. Question 13

    A line has slope −1/2. 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 = 4x − 3 that passes through (4, −4). Type the right-hand side of y = … .

    Answer

  15. Question 15

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

    Answer

  16. Question 16

    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)

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Answer key: Write the equation of a perpendicular line through a point

  1. 1. -4

  2. 2. (1/3)x-1

  3. 3. -2x+3

  4. 4. -1/5

  5. 5. (1/3)x

  6. 6. 4x+9

  7. 7. 1/4

  8. 8. (1/2)x-3

  9. 9. -3x+3

  10. 10. 2

  11. 11. x-4

  12. 12. 2x+7

  13. 13. 2

  14. 14. -(1/4)x-3

  15. 15. 4x-16

  16. 16. 4