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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter

Graphs 2

16 practice questions

Start practising (16 questions)

Practice questions

11–16 of 16

  1. Question 11

    3 marks · Normal

    A taxi company charges a $4.50 fixed fee plus $1.20 for every kilometre travelled.

    Complete the table below to show the total charge $C$ in dollars ($) for $k$ kilometres.

    Taxi Fare Table
    k (km)C ($)
    0
    5
    10
    Answer and see the solution →

  2. Question 12

    4 marks · Normal

    The equations $y = 3x + 1$ and $y = -x + 17$ are plotted on the same set of axes.

    (a)

    Find the coordinates of the point of intersection of the two lines.

    [3 marks]
    (b)

    What is the gradient of the second line?

    [1 mark]
    Answer and see the solution →

  3. Question 13

    3 marks · Normal

    Line $L$ passes through the points $P(-6, 8)$ and $Q(0, -4)$. Without finding its full equation, show that $L$ crosses the x-axis at $x = 2$.

    Answer and see the solution →

  4. Question 14

    4 marks · Normal

    A fitness tracker records the number of steps and the calories burned for four days, as shown in the table below.

    Steps and Calories Data
    Steps (thousands)Calories burned
    5190
    7266
    9342
    11418
    (a)

    Plot a graph of calories burned against steps (thousands) for the four days.

    [1 mark]
    (b)

    By drawing a straight line through the points, estimate the number of calories burned if 8,000 steps are recorded.

    [1 mark]
    (c)

    Write down the equation of the line in the form $C = ms + c$, where $C$ is calories burned and $s$ is steps in thousands.

    [2 marks]
    Answer and see the solution →

  5. Question 15

    6 marks · Hard

    The line L passes through P (–4, 5) and Q (2, –1). A second line M is parallel to L and passes through the point R (1, 7).

    (a)

    Find the equation of the line L in the form y = mx + c.

    [3 marks]
    (b)

    Write down the gradient of line M.

    [1 mark]
    (c)

    Find the equation of line M in the form y = mx + c.

    [2 marks]
    Answer and see the solution →

  6. Question 16

    5 marks · Hard

    The lines y = 2x + 3 and y = -x + k intersect at the point (1, 5).

    (a)

    Find the value of k.

    [2 marks]
    (b)

    Verify that (1, 5) lies on both lines.

    [2 marks]
    (c)

    Determine the equation of the line that passes through the origin and the point of intersection.

    [1 mark]
    Answer and see the solution →