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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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Score/ 16

  1. Question 1

    The line passes through the two marked points (0, 3) and (2, −5). What is its slope?

    xy−66−12−66120y = −4x + 3AB

    Answer

  2. Question 2

    Find the slope (gradient) of the line through (4, 0) and (9, 5). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  3. Question 3

    Grace cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (6, 54). What is the slope, and so the speed in km/h?

    xy1234567891045900y = 9x(6, 54)

    Answer

  4. Question 4

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

    xy−66−12−66120y = 2x − 2AB

    Answer

  5. Question 5

    Find the slope (gradient) of the line through (−6, 2) and (−2, 5). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  6. Question 6

    Jamal cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (5, 30). What is the slope, and so the speed in km/h?

    xy1234567891061218243036424854600y = 6x(5, 30)

    Answer

  7. Question 7

    The line passes through the two marked points (0, −2) and (2, −6). What is its slope?

    xy−66−12−66120y = −2x − 2AB

    Answer

  8. Question 8

    Find the slope (gradient) of the line through (2, −1) and (8, −1). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  9. Question 9

    Sofia cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (2, 22). What is the slope, and so the speed in km/h?

    xy12345678910660y = 11x(2, 22)

    Answer

  10. Question 10

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

    xy−66−12−66120y = −x − 1AB

    Answer

  11. Question 11

    Find the slope (gradient) of the line through (1, 3) and (−4, 7). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  12. Question 12

    Fatima cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (3, 27). What is the slope, and so the speed in km/h?

    xy1234567891045900y = 9x(3, 27)

    Answer

  13. Question 13

    The line passes through the two marked points (0, −3) and (2, −5). What is its slope?

    xy−66−12−66120y = −x − 3AB

    Answer

  14. Question 14

    Find the slope (gradient) of the line through (−3, −3) and (0, −10). Give a whole number or a fraction in simplest form.

    xy−12−6612−12−66120AB

    Answer(as a fraction)

  15. Question 15

    Daniel cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (5, 30). What is the slope, and so the speed in km/h?

    xy1234567891061218243036424854600y = 6x(5, 30)

    Answer

  16. Question 16

    The line passes through the two marked points (0, −3) and (2, 5). What is its slope?

    xy−66−12−66120y = 4x − 3AB

    Answer

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  1. -4
  2. 1
  3. 9
  4. 2
  5. 3/4
  6. 6
  7. -2
  8. 0
  9. 11
  10. -1
  11. -4/5
  12. 9
  13. -1
  14. -7/3
  15. 6
  16. 4