Math 9 · Unit 10: Graphs · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. What are the gradient and y-intercept of y = 10x + 20?

   • gradient 30, y-intercept 0
   • gradient 20, y-intercept 10
   • gradient 10, y-intercept −20
   • gradient 10, y-intercept 20
   Check

2. 2. What are the gradient and y-intercept of y = 10 − 20x?

   • gradient −10, y-intercept 20
   • gradient 20, y-intercept 10
   • gradient −20, y-intercept 10
   • gradient 10, y-intercept −20
   Check

3. 3. What are the gradient and y-intercept of y = −2.5 + 0.5x?

   • gradient 0.5, y-intercept −2.5
   • gradient 2.5, y-intercept 0.5
   • gradient −2.5, y-intercept 0.5
   • gradient 0.5, y-intercept 2.5
   Check

4. 4. What are the gradient and y-intercept of y = 1/3 x + 10/3?

   • gradient 10/3, y-intercept 1/3
   • gradient 1/3, y-intercept 3
   • gradient 3, y-intercept 10
   • gradient 1/3, y-intercept 10/3
   Check

5. 5. What are the gradient and y-intercept of y = 12?

   • It has no y-intercept.
   • gradient 12, y-intercept 0
   • gradient 1, y-intercept 12
   • gradient 0, y-intercept 12
   Check

6. 6. What are the gradient and y-intercept of y = −30x − 45?

   • gradient −30, y-intercept −45
   • gradient −45, y-intercept −30
   • gradient 30, y-intercept 45
   • gradient −30, y-intercept 45
   Check

7. 7. Work out the gradient of each of these lines.

   • a 2, b −3, c −1/2
   • a −1/2, b 1/3, c 2
   • a 1/2, b −3, c 2
   • a 1/2, b −1/3, c −2
   Check

8. 8. Make y the subject of x + y = 15.

   • y = 15x
   • y = 15 + x
   • y = x − 15
   • y = 15 − x
   Check

9. 9. What are the gradient and y-intercept of the graph of x + y = 15?

   • gradient 15, y-intercept −1
   • gradient 1, y-intercept −15
   • gradient −1, y-intercept 15
   • gradient 1, y-intercept 15
   Check

10. 10. Where does the graph of x + y = 15 cross the x-axis?

    • (15, 0)
    • (1, 0)
    • (0, 15)
    • (−15, 0)
    Check

11. 11. Make y the subject of x + 3y = 12.

    • y = 12 − 3x
    • y = 4 + 1/3 x
    • y = 12 − 1/3 x
    • y = 4 − 1/3 x
    Check

12. 12. What are the gradient and y-intercept of x + 3y = 12?

    • gradient 3, y-intercept 4
    • gradient −1/3, y-intercept 4
    • gradient −3, y-intercept 12
    • gradient 1/3, y-intercept 4
    Check

13. 13. Complete this table of values for x + 3y = 12. Put each missing number in its cell.

    Fill the blanks with these.

    • 3
    • 12
    • 6
    • 9
    • 4
    • 1
    • 2
    Check

14. 14. 4y = x − 10 is the equation of a line. Is (20, 2.5) on the line?

    • Yes
    • No
    Check

15. 15. Make y the subject of 4y = x − 10.

    • y = 1/4 x − 10
    • y = 1/4 x − 2.5
    • y = 1/4 x + 2.5
    • y = 4x − 10
    Check

16. 16. What are the gradient and y-intercept of 4y = x − 10?

    • gradient 1/4, y-intercept −10
    • gradient 4, y-intercept −10
    • gradient 1, y-intercept −10
    • gradient 1/4, y-intercept −2.5
    Check

17. 17. The equation of a line is 3x + 5y = 10. What is the gradient?

    • −5/3
    • 5/3
    • 3/5
    • −3/5
    Check

18. 18. The equation of a line is 3x + 5y = 10. What is the y-intercept?

    • 10
    • 3 1/3
    • −2
    • 2
    Check

19. 19. Match each line to its gradient.

    • 2x + y = 8
    • 2x + 4y = 8
    • y − 2x = 8
    • 2y − x = 8

    • −2
    • 2
    • −1/2
    • 1/2
    Check

20. 20. What are the gradient and y-intercept of 2x + 10y = 20?

    • gradient 2, y-intercept 20
    • gradient −1/5, y-intercept 2
    • gradient −5, y-intercept 2
    • gradient 1/5, y-intercept 2
    Check