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Slope (gradient) of a line

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.B.5, 8.EE.B.6, 8.F.B.4 · England: KS3 Algebra, GCSE Foundation Algebra

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Date

Score/ 16

  1. Question 1

    The line passes through the two marked points (0, 3) and (2, −1). What is its slope?

    xy−66−12−66120y = −2x + 3AB

    Answer

  2. Question 2

    Find the slope (gradient) of the line through (−2, 4) and (4, 2). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  3. Question 3

    Ines cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (4, 24). What is the slope, and so the speed in km/h?

    xy1234567891061218243036424854600y = 6x(4, 24)

    Answer

  4. Question 4

    The line passes through the two marked points (0, −1) and (2, 7). What is its slope?

    xy−66−12−66120y = 4x − 1AB

    Answer

  5. Question 5

    Find the slope (gradient) of the line through (−1, 5) and (4, −1). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  6. Question 6

    Luis cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (5, 40). What is the slope, and so the speed in km/h?

    xy1234567891081624324048566472800y = 8x(5, 40)

    Answer

  7. Question 7

    The line passes through the two marked points (0, −2) and (2, 0). What is its slope?

    xy−66−12−66120y = x − 2AB

    Answer

  8. Question 8

    Find the slope (gradient) of the line through (3, −4) and (8, −11). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  9. Question 9

    Ethan cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (8, 48). What is the slope, and so the speed in km/h?

    xy1234567891061218243036424854600y = 6x(8, 48)

    Answer

  10. Question 10

    The line passes through the two marked points (0, −3) and (2, −1). What is its slope?

    xy−66−12−66120y = x − 3AB

    Answer

  11. Question 11

    Find the slope (gradient) of the line through (−5, 5) and (1, 9). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  12. Question 12

    Jamal cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (4, 44). What is the slope, and so the speed in km/h?

    xy12345678910660y = 11x(4, 44)

    Answer

  13. Question 13

    The line passes through the two marked points (0, −4) and (2, 2). What is its slope?

    xy−66−12−66120y = 3x − 4AB

    Answer

  14. Question 14

    Find the slope (gradient) of the line through (3, 1) and (−2, −1). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  15. Question 15

    Lucia cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (5, 35). What is the slope, and so the speed in km/h?

    xy1234567891028560y = 7x(5, 35)

    Answer

  16. Question 16

    The line passes through the two marked points (0, −2) and (2, −10). What is its slope?

    xy−66−12−66120y = −4x − 2AB

    Answer

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Answer key: Slope (gradient) of a line

  1. 1. -2

  2. 2. -1/3

  3. 3. 6

  4. 4. 4

  5. 5. -6/5

  6. 6. 8

  7. 7. 1

  8. 8. -7/5

  9. 9. 6

  10. 10. 1

  11. 11. 2/3

  12. 12. 11

  13. 13. 3

  14. 14. 2/5

  15. 15. 7

  16. 16. -4