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Common Core HSG.GPE.B.5 worksheet

High school · 16 questions · Common Core: HSG.GPE.B.5 · England: GCSE Higher Algebra, A-level Pure Mathematics

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Date

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  1. Question 1

    Find the line parallel to −6x + 2y = 2 through (−2, −6). Type the right-hand side of y = … .

    Answer

  2. Question 2

    Find the line perpendicular to y = (1/4)x + 3 through (2, 6). Type the right-hand side of y = … .

    Answer

  3. Question 3

    Line 1: −4x + 2y = −3 Line 2: 8x − 4y = 0 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither

  4. Question 4

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

    xy−66−12−66120y = −x + 1(−4, 4)

    Answer

  5. Question 5

    Find the equation of the normal to y = x² + 4 at x = −2. Type the right-hand side of y = … (fractions are fine).

    Answer

  6. Question 6

    Find the equation of the tangent to y = x² + 4x − 1 at x = 2. Type the right-hand side of y = … .

    Answer

  7. Question 7

    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)

  8. Question 8

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

    Answer

  9. Question 9

    Line 1: y = 2x + 2 Line 2: y = x + 6 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither

  10. Question 10

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

    Answer

  11. Question 11

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

    Answer

  12. Question 12

    Line 1: −9x − 3y = 6 Line 2: x − 3y = 15 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither

  13. Question 13

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

    xy−66−12−66120y = 4x − 4(4, 3)

    Answer

  14. Question 14

    Find the equation of the normal to y = x² + 5x + 4 at x = 0. Type the right-hand side of y = … (fractions are fine).

    Answer

  15. Question 15

    Find the equation of the tangent to y = −x² + x + 3 at x = 0. Type the right-hand side of y = … .

    Answer

  16. Question 16

    A line has slope 3. 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: Common Core HSG.GPE.B.5 worksheet

  1. 1. 3x

  2. 2. -4x+14

  3. 3. A. Parallel

  4. 4. -x

  5. 5. (1/4)x+17/2

  6. 6. 8x-5

  7. 7. 2

  8. 8. x-4

  9. 9. C. Neither

  10. 10. x-3

  11. 11. 3x+10

  12. 12. B. Perpendicular

  13. 13. 4x-13

  14. 14. -(1/5)x+4

  15. 15. x+3

  16. 16. -1/3

HSG.GPE.B.5 Worksheet: Write the equation of a parallel line through… | Eurekami