3.6 Draw a straight line from given information Quiz: AQA Further Maths, Unit 3

The 20 questions

1. To draw y = 2x + 1, which point should be plotted first?

   • (0, 2)
   • (0, 1)
   • (1, 0)
   • (2, 0)

2. To draw a line through (1, 4) and (3, 8), what gradient is used?

   • 2
   • -2
   • 1/2
   • 4

3. Which line passes through (0, 0) and (4, 2)?

   • y = -x/2
   • y = 4x
   • y = x/2
   • y = 2x

4. What is the minimum number of points required to define a unique straight line?

   • 4 points
   • 2 points
   • 1 point
   • 3 points

5. A line passes through (-1, 3) with gradient 0. Which description is correct?

   • A horizontal line at y = -1
   • A horizontal line at y = 3
   • A line with gradient -3
   • A vertical line at x = -1

6. Which pair gives the intercepts of y = -x + 4?

   • (-4, 0) and (0, -4)
   • (4, 0) and (0, 4)
   • (1, 0) and (0, 4)
   • (4, 0) and (0, -4)

7. What is the gradient of the straight line passing through (2, 2) and (-2, -2)?

   • 2
   • 0
   • -1
   • 1

8. What are the y-values for y = 3x - 2 when x = 0, 1, 2?

   • 2, 5, 8
   • -2, 1, 4
   • -2, -5, -8
   • 0, 3, 6

9. When drawing a straight line from a table of values, what is the minimum number of points needed?

   • 4
   • 10
   • 1
   • 2

10. A line from (0, 5) has gradient -2. Where does it cross the x-axis?

    • x = 5
    • x = 2.5
    • x = -2.5
    • x = 10

11. Cost starts at 5 pounds and rises by 3 pounds per ticket. Which equation describes the line?

    • y = 5x + 3
    • y = x + 35
    • y = 3x - 5
    • y = 3x + 5

12. Does the point (2, 4) lie on the straight line passing through (0, 6) and (6, 0)?

    • No
    • Only if x > 6
    • Yes
    • Cannot be determined

13. Which pair of points lies on a line parallel to y = 3x - 1?

    • (0, 0) and (3, 1)
    • (1, 1) and (2, 2)
    • (0, 1) and (2, 2)
    • (0, 0) and (1, 3)

14. A line through (-3, -2) and (1, 2) crosses the y-axis where?

    • (0, -3)
    • (0, -1)
    • (0, 1)
    • (0, 2)

15. Which equation describes a line sloping downwards from left to right and crossing the y-axis at 4?

    • y = -2x + 4
    • y = -2x - 4
    • y = 2x + 4
    • y = 4x - 2

16. How can you check that a drawn straight line is accurate?

    • Plot a third point
    • Measure the grid
    • Plot two points
    • Find the origin

17. A line passes through (0, b) and (4, 0) with gradient -1/2. Find b.

    • 2
    • -2
    • 4
    • 1/2

18. A line with gradient -3 passes through (2, 5). Where does it cross the x-axis?

    • x = -11/3
    • x = 5/3
    • x = 11/3
    • x = 3

19. The line through A(-2, 6) and B(4, -6) crosses the x-axis at which point?

    • (-1, 0)
    • (2, 0)
    • (1, 0)
    • (0, 2)

20. Which point lies on x + 2y = 8 and on the y-axis?

    • (8, 4)
    • (0, 4)
    • (8, 0)
    • (0, 8)

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