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Find the slope from a graph using rise over run

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

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Date

Score/ 16

  1. Question 1

    The line passes through the marked points (0, 1) and (3, 7). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = 2x + 1(0, 1)(3, 7)

    Answer(as a fraction)

  2. Question 2

    A line goes through (0, 4) and (2, 12). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = 4x + 4AB

    Answer

  3. Question 3

    The line passes through the marked points (0, βˆ’3) and (3, βˆ’5). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’0.666666667x βˆ’ 3(0, βˆ’3)(3, βˆ’5)

    Answer(as a fraction)

  4. Question 4

    A line goes through (0, βˆ’1) and (3, 11). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = 4x βˆ’ 1AB

    Answer

  5. Question 5

    The line passes through the marked points (0, 0) and (2, 1). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = 0.5x(0, 0)(2, 1)

    Answer(as a fraction)

  6. Question 6

    A line goes through (βˆ’2, 4) and (1, βˆ’5). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = βˆ’3x βˆ’ 2AB

    Answer

  7. Question 7

    The line passes through the marked points (0, βˆ’2) and (1, βˆ’7). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’5x βˆ’ 2(0, βˆ’2)(1, βˆ’7)

    Answer(as a fraction)

  8. Question 8

    A line goes through (βˆ’3, 8) and (1, 0). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = βˆ’2x + 2AB

    Answer

  9. Question 9

    The line passes through the marked points (0, βˆ’2) and (3, βˆ’3). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’0.333333333x βˆ’ 2(0, βˆ’2)(3, βˆ’3)

    Answer(as a fraction)

  10. Question 10

    A line goes through (βˆ’1, 6) and (2, βˆ’3). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = βˆ’3x + 3AB

    Answer

  11. Question 11

    The line passes through the marked points (0, 3) and (2, βˆ’3). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’3x + 3(0, 3)(2, βˆ’3)

    Answer(as a fraction)

  12. Question 12

    A line goes through (βˆ’3, 8) and (0, 5). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = βˆ’x + 5AB

    Answer

  13. Question 13

    The line passes through the marked points (0, βˆ’1) and (1, 1). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = 2x βˆ’ 1(0, βˆ’1)(1, 1)

    Answer(as a fraction)

  14. Question 14

    A line goes through (0, βˆ’4) and (4, βˆ’16). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = βˆ’3x βˆ’ 4AB

    Answer

  15. Question 15

    The line passes through the marked points (0, βˆ’1) and (1, 1). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = 2x βˆ’ 1(0, βˆ’1)(1, 1)

    Answer(as a fraction)

  16. Question 16

    A line goes through (βˆ’3, βˆ’5) and (1, βˆ’1). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = x βˆ’ 2AB

    Answer

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Answer key: Find the slope from a graph using rise over run

  1. 1. 2

  2. 2. 4

  3. 3. -2/3

  4. 4. 4

  5. 5. 1/2

  6. 6. -3

  7. 7. -5

  8. 8. -2

  9. 9. -1/3

  10. 10. -3

  11. 11. -3

  12. 12. -1

  13. 13. 2

  14. 14. -3

  15. 15. 2

  16. 16. 1